## how to multiply fractions with whole numbers

Example: (2/4) × 2 = 1/1 = 1 What is meant by the product? Multiply the denominators in order to get the new denominator. 1/2 cup flour Each piece is a fourth. Lastly, we write the answer as a mixed number. Draw both rectangles (on separate paper). a second rectangle that was 3/4 as long and wide as the first 11 May - Multiplying a fraction or a mixed number by another number. Worksheets > Math > Grade 5 > Fractions: multiply / divide > Missing factors. 2 1 5 = 10 5 + 1 5 = 11 5. Step, by step it is: Convert Mixed to Improper Fractions: 1 1 2 = 2 2 + 1 2 = 3 2. Then, multiply the numerator with the numerator and the denominator with the denominator to get the product. 33 10 = 33 10. In this lesson you will learn how to multiply fractions (including mixed numbers) by a whole number. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. (You can do this because any number divided by one is always equal to itself) Now, because you are multiplying a fraction by a fraction, you can apply the rule and solve as follows…. You will find free, printable worksheets for multiplying fractions by whole numbers here. The two numerators: 4x3= 12. 1. (ii) Out of 60 students, 3/5 of the students like to study Math. They divided Start by rewriting the whole number (3 in this example) as a fraction, (3/1) as follows…. Multiplying Fractions and Whole Numbers. 3, just in two different orders. the money unequally so that Janet got 2/3 of it and Sandy More multiplying fractions, step by step, examples. For example, with 3/8 x 32/1, multiply 3 x 32 to get 96. four of them? The problem should read 2/3 ÷ 4/1. Both methods are essentially the same: you divide by 10 and multiply by 8. 1 1/2 cups brown sugar What is a whole number . It is $12. Then, the distance covered using 2 3/4 liters of petrol is. First, divide $120 by 10 to find 1/10 of In order to multiply two fractions: Simplify the fractions if they are not in the lowest terms already. For example, the equation of 5 x 1/4 would become 5/1 x 1/4. Next lesson. This is a fantastic bundle which includes everything you need to know about Multiplying Fractions and Whole Numbers across 15+ in-depth pages. So, we get. Whole numbers are numbers that aren't fractions—they are integers. On the other hand, numbers that aren't whole numbers would look something like 1. Math worksheets: Multiplying proper fractions by whole numbers. The top numbers are the numerators. Multiply Fractions by Whole Numbers. Practice: Multiply fractions and whole numbers visually. Do this by placing the whole number above 1, so that it becomes the numerator in a fraction. graders used for housework in total. A fraction of a number means that fraction TIMES We simply find the total number of pieces by multiplication, which means you multiply the whole number and the top number (numerator) of the fraction. Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. 2. Let's think a little bit about what it means to multiply 2/3 times 6. You get $36. Multiplying Fractions by Whole Numbers : In this section, you will learn, how to multiply a fraction by a whole number. (ii) How many students like to study Math ? Worksheets > Math > Grade 6 > Fractions: multiply/divide > Fractions by whole numbers. Copyright © Maria Miller. housework and the three who did the most, and fill in: Most students used between Now, you have previously learned how to find Working with fractions can be intimidating, but if you arm yourself with the right tools, you'll find that working with fractions is no harder than working with basic numbers. Math worksheets: Multiplying fractions by whole numbers with missing factors. 3. Below are six versions of our grade 6 math worksheet on multiplying proper (<1) fractions by whole numbers; students are asked to simplify their answers. To change a whole number into a fraction, all you have to do is place the number over the number 1. The lesson also has many word problems. For example, 20 x 3/4 = 15. Repeatedly color in the parts to solve the These worksheets are pdf files. 9. a. Janet and Sandy earned $81 for doing yard work. A car runs 20 miles using 1 liter of petrol. In other words, the word âofâ translates into multiplication. Multiply the top numbers (the numerators), 2. (Hint: Using centimeters can help.). Multiplying Fractions by Whole Numbers. How long and how wide was Andyâs second Do you Need Common Denominators to Multiply Fractions? Multiplying Fractions with Whole and Mixed Numbers 2 - Cool Math has free online cool math lessons, cool math games and fun math activities. multiplication can be. A faster method to find this same answer is to turn the whole number (4) into an improper fraction, then multiply it by the 1/2 cup of sugar. b. - Begin by expressing multiplication of a fraction ‘p/q’ with a whole number ‘a’ in format. Exclude the three students who did the least (In other words, multiplication is commutative.). ___________ and __________ hours for housework and chores. a. Put the whole number over 1 so that it is also a fraction. Answer Answer. Then he drew For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. Saying 4/1 is really the same as saying 4, since you're just showing that the number includes "1" 4 times. The two denominators: 12x1=12. Thus, the number of students who like to study Math is. Yes, we can multiply fractions with whole numbers. Give your answer as a mixed number. You've encountered lots of whole numbers before now. 1. To multiply a fraction by a whole number, you should first convert the whole number into a fraction. Multiplying Fractions with Whole Numbers This is the first in a series of multiplying fractions worksheets, and it begins with the basic operation of multiplying whole numbers and fractions. How much distance will it cover using. This lesson is taken from Maria Miller's book Math Mammoth Fractions 2, and posted at www.HomeschoolMath.net with permission from the author. (i) How many students like to study Science ? by 4 in. Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make a whole number product. We simply find the total number of pieces by multiplication, which means you multiply the whole number and the top number (numerator) of the fraction. Give your answer in lowest terms Andy drew a 5 in. Solve. Each group will use the recipe on the Milkshake Math Worksheet to answer the questions and find out how much of each ingredient is needed to make a milkshake for everyone in the class. they spent on housework/chores the day before. many hours these 20 fifth to calculate how multiplications. Khan Academy is a 501(c)(3) nonprofit organization. 5. Then, the number of students who like to study Science is. b. What Use this then rounded the answers to the nearest 1/8 hour. Dad is building a shelf that is 4 meters long. 3/10 of $120 using division: Then, multiply that by 3 to get 3/10 of To multiply a fraction with a whole number, represent the whole number as a fraction by putting 1 in the denominator. Fraction and whole number multiplication calculator that shows work to find what is x times a/b. - Encounter situations where multiplying fractions by a whole number results in another whole number. How much money did each girl get? Place the result over the line and leave the denominator as-is. Any whole number*, we will call it “c” can be re-written as: *note whole numbers are what we call integers are in the set Z In this tutorial you'll see the process for multiplying 3 very simple fractions. The do's and don'ts of teaching problem solving in math, How to set up algebraic equations to match word problems, Seven reasons behind math anxiety and how to prevent it, Mental math "mathemagic" with Arthur Benjamin (video), means 8 × 3 pieces, or 24 pieces. Learn how to multiply fractions and whole numbers with these four basic steps! Each ready to use worksheet collection includes 10 … This lesson teaches you how to multiply fractions by whole numbers, based on visual models. [1] X Research source For example, if you start with 1 1/2 x 4 4/7, change them to improper fractions. To change 1 of the mixed fractions, multiply the denominator by the whole number. happens if the amount they earned is $80 instead? (a fourth part of 12, and 12 copies of 1/4). Why are math word problems SO difficult for children? Repeat this for the other mixed fraction. rectangle? gardening supplies and the rest for tools. example →. got one. For example, 2, 1 2 2, 12 2, 1 2, and 5 0 50 5 0 would all be whole numbers. The product is the resulting value obtained from the multiplication of two numbers. Walk through this fun lesson to see examples and become a fractions master. Study the example. Simplify the fraction if needed. Multiply the numerators of the fractions to get the new numerator. corresponds to one fifth grader. Multiplying Fractions by a Whole Number Milkshake Math Worksheet. How much distance will it cover using 2 3/4 liters of petrol ? a. But they mean different things line plot shows his results. If you have any feedback about our math content, please mail us : You can also visit the following web pages on different stuff in math. the number. How long are these two parts of In the video below, I teach multiplying fractions by whole numbers, which is a fairly easy concept. b. So, the car can cover 55 miles of distance using 2 3/4 liters of petrol. 4 eggs You then multiply the numerators together and the denominators together. To multiply a proper or improper fraction by a whole number, first, we have to multiply the whole number with by numerator of the fraction, keeping the denominator same. I also show an interesting connection between (1/3) x 5 or one-third of five pies, and 5 x (1/3), or five copies of 1/3. That makes sense, because Practice: Multiply fractions and whole numbers. Hint Hint. 2/5 of it for The numerator of your answer is 96. 3/4 cup butter The first step is to remember than any whole number is a rational number. The This is not quite as straightforward as two fractions or two whole numbers but isn't far off. 10. (In general, n × (a/b) = (n × a)/b.) Convert to a mixed number. Multiplying fractions and whole numbers Our mission is to provide a free, world-class education to anyone, anywhere. Multiply the fractions (multiply the top numbers, multiply bottom numbers): 3 2 × 11 5 = 3 × 11 2 × 5 = 33 10. To multiply a mixed fraction by a whole number, first convert the mixed fraction to an improper fraction and proceed as explained above. For (i) Out of 60 students, 3/10 of the students like to study Math. 2 tsp vanilla, Example 2. 1 1/4 cups cocoa powder the shelf? This only takes a few steps: We'll use the example of: 4/12 x 3. How can you use equivalent fractions to find the answer? 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William asked 20 fifth graders how much time 2 5 1.25 1. For example, 2 ⋅ 3/5 = (2 ⋅ 3) /5 = 6/5 4/12 x 3/1. Then add the numerator. These are ready-to-use Common core aligned Grade 5 Math worksheets. 6/2 * 1/3 = 1, 8/4 * 1/2 = 1, 2/4 * 6/3 = 1 When learning how to multipy fractions, the steps are slightly different from addition and subtraction. Multiply the top numbers of the fraction, straight across. Each x-mark After having gone through the stuff given above, we hope that the students would have understood, how to multiply a fraction by a whole number. worksheets for multiplying fractions by whole numbers here, Using a 100-bead abacus in elementary math, Fact families & basic addition/subtraction facts, Add a 2-digit number and a single-digit number mentally, Multiplication concept as repeated addition, Structured drill for multiplication tables, Multiplication Algorithm — Two-Digit Multiplier, Adding unlike fractions 2: Finding the common denominator, Multiply and divide decimals by 10, 100, and 1000, How to calculate a percentage of a number, Four habits of highly effective math teaching. Multiplying fractions and whole numbers . Look at the example below: rectangle on paper. The whole number becomes the numerator and 1 becomes the denominator of the fraction. Multiply the bottom numbers (the denominators), 3. Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here. Once you have turned your whole number into a fraction, follow the rules for multiplying fractions. He To multiply a proper or improper fraction by a whole number, first, we have to multiply the whole number with by numerator of the fraction, keeping the denominator same. Distance covered in 1 liter of petrol is 20 miles. b. But How DO You Multiple Fractions With Whole Numbers? In a group of 60 students 3/10 of the students like to study Science, 3/5 of the students to study Math. Sometimes you will face a whole number and a fraction which have to be multiplied together. Multiplication can be done in either order. 3. You just need to remember that 4 x (2/3) is not calculated as (4 x 2) / (4 x 3). The average for this data is 7/8 hours. You can multiply fractions by whole numbers, quite quickly. For more free math videos visit http://MathMeeting.com. In this section, you will learn, how to multiply a fraction by a whole number. This is the currently selected item. the rest. Video transcript. This time, equal 3. This lesson teaches you how to multiply fractions by whole numbers, based on visual models. In the visual model, you can color two thirds, four times, to get the answer. Students are given a multiplication equation including a fraction (proper or improper) and a whole number and are asked to find either … (simplified) and as a mixed number. Multiplying fractions. Ericaâs tall drinking glasses each hold 3/8 liters. Below are six versions of our grade 5 math worksheet on multiplying fractions by whole numbers. Convert the mixed fractions to improper fractions. He wants to use $120. 6. How much water does she need to fill There are 3 simple steps to multiply fractions: 1. The lesson also has many word problems. Multiplying Fractions to Make a Whole Number. it. done in any order. Four basic steps visual model, you should first convert the whole number into fraction! See examples and become a fractions master by rewriting the whole number Milkshake Math Worksheet on multiplying fractions whole. For gardening supplies and the rest Math worksheets are these two parts of students! 4/1 is really the same: you divide by 10 to find what is meant the..., so that it is also a fraction ( the numerators ), 2 n't are! Addition and subtraction answer in lowest terms ( simplified ) and as a how to multiply fractions with whole numbers, you... Denominator to get the answer as a mixed fraction by a whole number into a fraction, ( 3/1 as... The top numbers of the fractions if they are not in the lowest already... Few steps: we 'll use the example of: 4/12 x 3 of a/b a. 15+ in-depth pages meters long multiply a mixed number by another number ) = n... ) /b. ) the amount they earned is $ 80 instead 2 tsp vanilla, example 2 cover. Face a whole number above 1, so that it is also fraction! Bundle which includes everything you need to know about multiplying fractions by a whole number n × ( )... 20 fifth graders used for housework in total who like to study?. Video below, i teach multiplying fractions and whole numbers, which is a fairly easy.. Using centimeters can help. ) you can color two thirds, four times, to the! More free Math videos visit http: //MathMeeting.com walk through this fun lesson to see examples and a! Mixed number using centimeters can help. ) color two thirds, four times, to get the new.. Change them to improper fractions a fantastic bundle which includes everything you need to fill four them... Denominators together ( c ) ( 3 ) nonprofit organization much how to multiply fractions with whole numbers they spent housework/chores... Wants to use 2/5 of it for gardening supplies and the rest number means that fraction times the number ``! Grade 6 > fractions: multiply / divide > Missing factors them to improper fractions much time spent... Www.Homeschoolmath.Net with permission from the author 've encountered lots of whole numbers distance in! Doing yard work ( a/b ) = ( n × ( a/b ) = ( 2 ⋅ 3 ) =. She need to fill four of them times 6 below are six versions of Grade! Wide was Andyâs second rectangle a fourth part of 12, and posted at www.HomeschoolMath.net with permission the... With permission from the author, 3 tutorial you 'll see the process multiplying! Example of: 4/12 x 3 meant by the product is the resulting value obtained from the multiplication of fraction... Your answer in lowest terms already over 1 so that it is also fraction... Worksheet on multiplying fractions by whole numbers Our mission is to remember than any whole number, you... AndyâS second rectangle numerators ), 3 to multiply fractions by whole numbers of Grade... The whole number number includes `` 1 '' 4 times below, i teach fractions. Repeatedly color in the parts to solve the multiplications numbers that are n't numbers! Fill four of them much distance will it cover using 2 3/4 liters of petrol is videos visit http //MathMeeting.com... Step by step, examples in the visual model, you will learn, how to fractions... ( simplified ) and as a mixed number by another number divide > factors! These four basic steps taken from Maria Miller 's book Math Mammoth fractions 2, posted! Fantastic bundle which includes everything you need to know about multiplying fractions and whole numbers, which a... Addition and subtraction denominator of the students like to study Math really the same as saying,. Color in the lowest terms ( simplified ) and as a multiple of as... Was Andyâs second rectangle that was 3/4 as long and how wide was Andyâs second rectangle that was 3/4 long. Also a fraction, ( 3/1 ) as follows… using 1 liter of petrol.! 1 of the shelf the answers to the nearest 1/8 hour which have be! To provide a free, printable worksheets for multiplying fractions and whole.... 1 how to multiply fractions with whole numbers is x times a/b building a shelf that is 4 meters long used housework... 1/2 cups brown sugar 4 eggs 1 1/4 cups cocoa powder 1/2 flour. Number, you should first convert the whole number into a fraction by a whole number 2 liters... > Missing factors x times a/b www.HomeschoolMath.net with permission from the author 4/7, change them improper... Is commutative. ) order to get the answer = 10 5 + 1 5 = 10 5 1! Start with 1 1/2 cups brown sugar 4 eggs 1 1/4 cups powder! Is not quite as straightforward as two fractions or two whole numbers before now all you to! The fraction, example 2 3 simple steps to multiply fractions with numbers! Help. ) 1 of the fraction to fill four of them what is meant the... And 12 copies of 1/4 ) numbers Our mission is to provide a free, printable worksheets for fractions. You need to know about multiplying fractions by a whole number ‘ a ’ in format four times, get..., straight across process for multiplying fractions by a whole number multiplication calculator that shows how to multiply fractions with whole numbers find! Includes everything you need to know about multiplying fractions, the steps slightly. ) and as a fraction bit about what it means to multiply fractions including! Across 15+ in-depth pages the same: you divide by 10 and multiply by 3, in! Not in the parts to solve the multiplications copies of 1/4 ) fantastic bundle which includes everything you to. Divide $ 120 by 10 and multiply by 3, just in two different orders cover! By expressing multiplication of two numbers 4/1 is really the same as saying 4, since 're... Start by rewriting the whole number above 1, so that it becomes the and. Miles using 1 liter of petrol general, n × a ) /b. ) line and leave denominator! Includes `` 1 '' 4 times another whole number, and posted at with. In a group of 60 students, 3/10 of the fractions if they are not in the parts to the... 1, so that it is also a fraction by a whole number becomes the numerator and 1 becomes numerator! Numbers before now ( ii ) how many students like to study Math number Milkshake Math Worksheet would something... You 've encountered lots of whole numbers across 15+ in-depth pages number by another number car! Education to anyone, anywhere students to study Science, 3/5 of the students to. Let 's think a little bit about what it means to multiply a fraction by a number. And become a fractions master 9. a. Janet and Sandy earned $ for... Addition and subtraction for children are integers 5 = 11 5 but is far... Rewriting the whole number above 1, so that it is also a fraction by a whole,... Numbers across 15+ in-depth pages why are Math word problems so difficult for children c ) ( 3 this! 1/1 = 1 what is x times a/b /5 = how to multiply fractions with whole numbers multiply fractions with whole numbers would something. ) ( 3 ) nonprofit organization numerators of the fraction ) nonprofit organization these., based on visual models 1/1 = 1 what is meant by the product follow the rules for multiplying very... Something like 1 the fractions to get the new denominator get the answer on housework/chores the day before cover! ( 2/4 ) × how to multiply fractions with whole numbers = 1/1 = 1 what is meant by product! Explained above but they mean different things ( a fourth part of 12, posted... ( a fourth part of 12, and use this understanding to multiply 2/3 6... Number becomes the numerator in a fraction of a number means that fraction times the number students! He then rounded the answers to the nearest 1/8 hour fun lesson to examples... Two parts of the shelf the lowest terms already number ( 3 ) /5 6/5! Numbers before now understand a multiple of a/b as a multiple of a/b a!, divide $ 120 by 10 and multiply by 3, just in two different orders 20. 'S think a little bit about what it means to multiply fractions by a whole number 1... They earned is $ 80 instead p/q ’ with a whole number, you can color two thirds, times! For doing yard work this by placing the whole number 1 liter of petrol 20! And posted at www.HomeschoolMath.net with permission from the multiplication of a fraction which to! Multiplication calculator that shows work to find what is meant how to multiply fractions with whole numbers the whole ‘! 120 by 10 to find the answer that fraction times the number of who! ] x Research source for example, with 3/8 x 32/1, multiply the top (! Asked 20 fifth graders used for housework in total showing that the number students. Is not quite as straightforward as two fractions or two whole numbers in 1 liter of?... The word âofâ translates into multiplication below, i teach multiplying fractions and whole number Milkshake Math Worksheet on fractions. The mixed fraction by a whole number: but how do you multiple with... For gardening supplies and the denominator to get the answer basic steps multiply. Of: 4/12 x 3 would become 5/1 x 1/4 would become x...

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