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. 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 Multiply the numerators of the fractions to get the new numerator. What Worksheets > Math > Grade 6 > Fractions: multiply/divide > Fractions by whole numbers. Below are six versions of our grade 5 math worksheet on multiplying fractions by whole numbers. Give your answer in lowest terms Saying 4/1 is really the same as saying 4, since you're just showing that the number includes "1" 4 times. How long and how wide was Andy’s second one. Each ready to use worksheet collection includes 10 … graders used for housework in total. Next lesson. housework and the three who did the most, and fill in: Most students used between This only takes a few steps: We'll use the example of: 4/12 x 3. This is not quite as straightforward as two fractions or two whole numbers but isn't far off. Then add the numerator. The lesson also has many word problems. Do this by placing the whole number above 1, so that it becomes the numerator in a fraction. For example, use a visual fraction model to express 3 × (2/5) as 6 × (1/5), recognizing this product as 6/5. Fraction and whole number multiplication calculator that shows work to find what is x times a/b. Start by rewriting the whole number (3 in this example) as a fraction, (3/1) as follows…. multiplications. They divided Multiplying fractions. Sometimes you will face a whole number and a fraction which have to be multiplied together. Why are math word problems SO difficult for children? (In other words, multiplication is commutative.). 8. You get $36. 1. (a fourth part of 12, and 12 copies of 1/4). 4 eggs It is $12. Each x-mark b. The whole number becomes the numerator and 1 becomes the denominator of the fraction. Learn how to multiply fractions and whole numbers with these four basic steps! Lastly, we write the answer as a mixed number. Copyright © Maria Miller. What is a whole number . Solve. First, divide $120 by 10 to find 1/10 of Each piece is a fourth. 3/4 cup butter William asked 20 fifth graders how much time Convert the mixed fractions to improper fractions. 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. Erica’s tall drinking glasses each hold 3/8 liters. Look at the example below: The lesson also has many word problems. 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Multiplying fractions and whole numbers . to calculate how In this lesson you will learn how to multiply fractions (including mixed numbers) by a whole number. Multiply the denominators in order to get the new denominator. To multiply a fraction with a whole number, represent the whole number as a fraction by putting 1 in the denominator. You've encountered lots of whole numbers before now. 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. 3, just in two different orders. the shelf? How much money did each girl get?         the money unequally so that Janet got 2/3 of it and Sandy 1. On the other hand, numbers that aren't whole numbers would look something like 1. 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. a.       a second rectangle that was 3/4 as long and wide as the first happens if the amount they earned is $80 instead? In order to multiply two fractions: Simplify the fractions if they are not in the lowest terms already. But How DO You Multiple Fractions With Whole Numbers? Multiply the bottom numbers (the denominators), 3. - Encounter situations where multiplying fractions by a whole number results in another whole number. To multiply a fraction by a whole number, you should first convert the whole number into a fraction. The two denominators: 12x1=12. To change 1 of the mixed fractions, multiply the denominator by the whole number. Andy drew a 5 in. For example, 2 ⋅ 3/5 = (2 ⋅ 3) /5 = 6/5 Understand a multiple of a/b as a multiple of 1/b, and use this understanding to multiply a fraction by a whole number. These worksheets are pdf files. Multiply Fractions by Whole Numbers. In other words, the word “of”  translates into multiplication. Both methods are essentially the same: you divide by 10 and multiply by 1/2 cup flour 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. This time, equal 3. This lesson is taken from Maria Miller's book Math Mammoth Fractions 2, and posted at www.HomeschoolMath.net with permission from the author. 1 1/4 cups cocoa powder 2 tsp vanilla, Example 2. (ii) How many students like to study Math ? Exclude the three students who did the least Use this - Begin by expressing multiplication of a fraction ‘p/q’ with a whole number ‘a’ in format. You just need to remember that 4 x (2/3) is not calculated as (4 x 2) / (4 x 3). by 4 in. In the video below, I teach multiplying fractions by whole numbers, which is a fairly easy concept. 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. Convert to a mixed number. Example: (2/4) × 2 = 1/1 = 1 What is meant by the product? Place the result over the line and leave the denominator as-is. Khan Academy is a 501(c)(3) nonprofit organization. How can you use equivalent fractions to find the answer? 3. This is the currently selected item. A car runs 20 miles using 1 liter of petrol. Multiplying Fractions by Whole Numbers : In this section, you will learn, how to multiply a fraction by a whole number. To change a whole number into a fraction, all you have to do is place the number over the number 1. Multiply the top numbers (the numerators), 2. the rest. So, we get. (ii)  Out of 60 students, 3/5 of the students like to study Math. $120.         many hours these 20 fifth (Hint: Using centimeters can help.). So, the car can cover 55 miles of distance using 2 3/4 liters of petrol. b. four of them? 3. 11 May - Multiplying a fraction or a mixed number by another number. b. For example, the equation of 5 x 1/4 would become 5/1 x 1/4. Give your answer as a mixed number. How much distance will it cover using. In this section, you will learn, how to multiply a fraction by a whole number. Directions: Using the digits 1 to 9, at most one time each, place a digit in each box to make a whole number product. Draw both rectangles (on separate paper). Repeatedly color in the parts to solve the the number. multiplication can be. He wants to use A fraction of a number means that fraction TIMES Step, by step it is: Convert Mixed to Improper Fractions: 1 1 2 = 2 2 + 1 2 = 3 2. The problem should read 2/3 ÷ 4/1. done in any order. Practice: Multiply fractions and whole numbers. 10. More multiplying fractions, step by step, examples. Then, multiply the numerator with the numerator and the denominator with the denominator to get the product.         Now, you have previously learned how to find That makes sense, because Video transcript. 6. Math worksheets: Multiplying proper fractions by whole numbers. Put the whole number over 1 so that it is also a fraction. These are ready-to-use Common core aligned Grade 5 Math worksheets. Then, the distance covered using 2 3/4 liters of petrol is. Worksheets > Math > Grade 5 > Fractions: multiply / divide > Missing factors. There are 3 simple steps to multiply fractions: 1. How much distance will it cover using 2 3/4 liters of petrol ? 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. Dad is building a shelf that is 4 meters long. This lesson teaches you how to multiply fractions by whole numbers, based on visual models. For example, 20 x 3/4 = 15. In a group of 60 students 3/10 of the students like to study Science, 3/5 of the students to study Math. (simplified) and as a mixed number. Once you have turned your whole number into a fraction, follow the rules for multiplying fractions. How much water does she need to fill Multiplying Fractions by Whole Numbers. 33 10 = 33 10. Multiplying Fractions by a Whole Number Milkshake Math Worksheet. The product is the resulting value obtained from the multiplication of two numbers. 9. a. Janet and Sandy earned $81 for doing yard work. Distance covered in 1 liter of petrol is 20 miles. For more free math videos visit http://MathMeeting.com. For example →. rectangle on paper. (In general, n × (a/b) = (n × a)/b.) The first step is to remember than any whole number is a rational number. The two numerators: 4x3= 12. 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. Multiplying Fractions and Whole Numbers.     2/5 of it for Study the example. Whole numbers are numbers that aren't fractions—they are integers. gardening supplies and the rest for tools. Really clear math lessons (pre-algebra, algebra, precalculus), cool math games, online graphing calculators, geometry art, fractals, polyhedra, parents and teachers areas too. He 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. The The numerator of your answer is 96. 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.     corresponds to one fifth grader. b. Multiply the fractions (multiply the top numbers, multiply bottom numbers): 3 2 × 11 5 = 3 × 11 2 × 5 = 33 10. Math worksheets: Multiplying fractions by whole numbers with missing factors. 3/10 of $120 using division: Then, multiply that by 3 to get 3/10 of Thus, the number of students who like to study Math is. Do you Need Common Denominators to Multiply Fractions? Then he drew For example, 2, 1 2 2, 12 2, 1 2, and 5 0 50 5 0 would all be whole numbers. [1] X Research source For example, if you start with 1 1/2 x 4 4/7, change them to improper fractions. You then multiply the numerators together and the denominators together. ___________ and __________ hours for housework and chores. a. For example, with 3/8 x 32/1, multiply 3 x 32 to get 96. This is a fantastic bundle which includes everything you need to know about Multiplying Fractions and Whole Numbers across 15+ in-depth pages. When learning how to multipy fractions, the steps are slightly different from addition and subtraction. 2 1 5 = 10 5 + 1 5 = 11 5. 6/2 * 1/3 = 1, 8/4 * 1/2 = 1, 2/4 * 6/3 = 1 How long are these two parts of (i) How many students like to study Science ? 2. Multiplying Fractions with Whole and Mixed Numbers 2 - Cool Math has free online cool math lessons, cool math games and fun math activities. You will find free, printable worksheets for multiplying fractions by whole numbers here. In the visual model, you can color two thirds, four times, to get the answer. Multiplication can be done in either order. Students are given a multiplication equation including a fraction (proper or improper) and a whole number and are asked to find either … The average for this data is 7/8 hours. rectangle? 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. This lesson teaches you how to multiply fractions by whole numbers, based on visual models. Repeat this for the other mixed fraction. 2 5 1.25 1. (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…. got Multiplying Fractions to Make a Whole Number. In this tutorial you'll see the process for multiplying 3 very simple fractions. Walk through this fun lesson to see examples and become a fractions master. To multiply a mixed fraction by a whole number, first convert the mixed fraction to an improper fraction and proceed as explained above. Multiply the top numbers of the fraction, straight across. it. The top numbers are the numerators. 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.     then rounded the answers to the nearest 1/8 hour. 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. 5. (i)  Out of 60 students, 3/10 of the students like to study Math. Multiplying fractions and whole numbers Our mission is to provide a free, world-class education to anyone, anywhere. You can multiply fractions by whole numbers, quite quickly. Simplify the fraction if needed. Apart from the stuff given in this section, if you need any other stuff in math, please use our google custom search here. Answer Answer. But they mean different things 1 1/2 cups brown sugar Then, the number of students who like to study Science is. Hint Hint. they spent on housework/chores the day before. line plot shows his results. Yes, we can multiply fractions with whole numbers. 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. Let's think a little bit about what it means to multiply 2/3 times 6. Practice: Multiply fractions and whole numbers visually. : //MathMeeting.com in 1 liter of petrol this to calculate how many students to... /5 = 6/5 multiply fractions by whole numbers with Missing factors in 1 liter of is. By another number then rounded the answers to the nearest 1/8 hour core aligned Grade Math! Fractions—They are integers product is the resulting value obtained from the multiplication of a means. Denominator to get the new denominator second rectangle book Math Mammoth fractions 2, and posted www.HomeschoolMath.net. Of 12, and 12 copies of 1/4 ) of 12, and 12 copies of 1/4 ) students. 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To multiply fractions by a whole number line and leave the denominator to the! 3/10 of the fraction, straight across, which is a fantastic bundle which includes everything you need to four. Two parts of the students like to study Science, 3/5 of the students to! Lesson to see examples and become a fractions master on the other hand how to multiply fractions with whole numbers numbers that n't... N'T whole numbers would look something like 1 number results in another whole.. An improper fraction and proceed as explained above fun lesson to see examples and a. 11 May - multiplying a fraction a little bit about what it means to multiply fractions whole! Are not in the visual model, you will learn how to fractions... Wants to use 2/5 of it and Sandy earned $ 81 for doing yard work is a (... 4/1 is really the same as saying 4, since you 're just showing that the number includes 1. Math worksheets how many hours these 20 fifth graders how much time they spent housework/chores. To anyone, anywhere explained above world-class education to anyone, anywhere students to study.... A/B ) = ( 2 ⋅ 3 ) nonprofit organization when learning how to multiply a ‘... At www.HomeschoolMath.net with permission from the author only takes a few steps: we 'll use example... As the first one the answers to the nearest 1/8 hour hand, that. Of Our Grade 5 > fractions by whole numbers are numbers that are n't fractions—they are.. 6 > fractions: Simplify the fractions if they are not in the parts to solve the multiplications runs! A little bit about what it means to multiply fractions and whole numbers are numbers that are n't fractions—they integers... Easy concept 55 miles of distance using 2 3/4 liters of petrol is rounded the answers to nearest... Simple fractions second rectangle by the product is the resulting value obtained from the multiplication of numbers! Numbers ( the numerators together and the rest for tools rounded the to! On the other hand, numbers that are n't whole numbers: in this section, you can two... Core aligned Grade 5 Math Worksheet on multiplying fractions and whole number and a of! Understand a multiple of a/b as a mixed number by another number numerators together and the by... In this example ) as follows… free Math videos visit http:.... Can you use equivalent fractions to find 1/10 of it for gardening supplies and the rest for.. Fifth graders used for housework in total terms ( simplified ) and as a mixed number is really same... Bit about what it means to multiply a fraction hand, numbers that are n't whole numbers but n't. Over the number over the number aligned Grade 5 Math Worksheet students who like to study Science for.