How To Divide A Fraction By A Whole Number – Welcome to this free step-by-step guide to classification. This tutorial will teach you how to use a simple three-step method called Keep-Change-Flip to divide fractions and fractions (and fractions and whole numbers).
Below you will find several examples of how to divide fractions using the Keep-Change-Flip method along with an explanation of why the method works for any math problem that involves dividing fractions. Plus, this free tutorial has an animated tutorial and a free worksheet with answers!
How To Divide A Fraction By A Whole Number
Before learning how to divide fractions using the Keep-Change-Flip method, you need to make sure you understand how to multiply fractions (which is easier than dividing!).
Skill 17: Dividing A Fraction By A Whole Number
Since multiplying fractions is learned before dividing fractions, you probably already know how to multiply two fractions. If so, you can go to the next step.
The Rule of Multiplying Fractions: Whenever you multiply fractions, multiply the numbers and multiply the sums in this way…
Now that you know how to multiply fractions, you’re ready to learn how to divide fractions using the 3-step Keep-Change-Flip method.
To solve this example (for any problem where you have to divide the fractions, we will use the Keep-Change-Flip method)
Worksheets For Fraction Multiplication
If we think of 1/2 ÷ 1/4 as a question: How many 1/4 are there in 1/2?
And then if we look at 1/4 and 1/2, we can clearly see that there are 2 1/4 in 1/2, so the final answer is 2.
As in example 01, you can solve this problem by using the following conversion method:
What if you divide a fraction by a whole number? It seems that the process is the same as the previous models!
How To Divide Fractions By A Whole Number: 7 Steps (with Pictures)
Note that in this example you are dividing the fraction by the whole number. But it’s easy to convert a whole number into a fraction. All you have to do is rewrite the number as a fraction where the numerator is in the numerator and the denominator is 1.
Now that you’ve rewritten the whole number as a fraction, you can use the Keep-Change-Flip method to solve the problem.
Watch the video below to learn how to divide fractions and fractions with whole numbers:
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Lesson Video For ‘divide Whole Numbers By Unit Fractions Using A Model’
This article was written by David Jia. David Jia is a math tutor and founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. with a 690 in English on the SAT, David received a Dickinson Scholarship at the University of Miami, where he majored in business administration. In addition, David has worked on online video tutorials for publishing companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math.
There are 8 references mentioned in this article, which can be found at the bottom of the page.
A mixed number or mixed fraction is a number that combines a whole number with a fraction. It is possible to divide mixed numbers; however, for this reason it is necessary to first convert them into improper fractions. Once the mixed numbers are converted, you can divide them just like you would divide any other fraction.
This article was written by David Jia. David Jia is a math tutor and founder of LA Math Tutoring, a private tutoring company based in Los Angeles, California. With over 10 years of teaching experience, David works with students of all ages and grades in a variety of subjects, as well as college admissions counseling and test preparation for the SAT, ACT, ISEE, and more. with a 690 in English on the SAT, David received a Dickinson Scholarship at the University of Miami, where he majored in business administration. In addition, David has worked on online video tutorials for publishing companies such as Larson Texts, Big Ideas Learning, and Big Ideas Math. This article has been viewed 502,906 times.
How To Multiply Fractions
The easiest way to divide mixed fractions is to start by converting them into improper fractions. Begin by multiplying the whole number in each mixed fraction by its denominator. For example, if one of the fractions is 6 ½, multiply 6 × 2 to get 12. Then add the product to the numerator. In this example, 12 + 1 = 13. This will be your new quotient number, giving you an improper quotient of 13/2. When you convert all the mixed fractions into improper fractions, you can divide them. Suppose you have to solve the problem 6 ½ ÷ 2 ¼. Written as improper fractions, it would be 13/2 ÷ 9/4. To solve a division problem, find the repeat of the division by inverting the division. Then multiply the two parts. So in our example, 13/2 ÷ 9/4 becomes 13/2 x 4/9. Now all you have to do is multiply the numerators and denominators of the fractions. 13 x 4 = 52 and 2 x 9 = 18, so 13/2 ÷ 9/4 = 52/18. If you can, reduce your answer by dividing the numerator and the denominator by the most common factor. 52 is 18 divided by 2, so you can simplify the quotient to 26/9. Now convert the numerator back to a mixed number by dividing the numerator by the denominator. The quotient is a whole number, while the remainder is a new number. 26 ÷ 9 = 2 is a remainder of 8. So 26/9 is a mixed quotient of 2 and eight. If you want to learn how to convert improper fractions into mixed numbers, keep reading! We have several free printable worksheets on this site to help your child learn to divide fractions and whole numbers or whole numbers.
We also have a calculator that will not only give you the answer, but show you all the action along the way!
On this page, you’ll learn how to divide a fraction and a whole number, and you’ll also learn some worksheets to help your child master that skill.
The papers are placed very carefully so that the lightest papers are first and the heaviest ones are last.
Multiplying Fractions By Whole Numbers: Your Complete Guide — Mashup Math
Before your child can divide fractions, they should be able to multiply fractions, convert mixed fractions to improper fractions and reduce fractions to their simplest form.
The calculator will help you divide fractions and whole numbers or fractions and fractions or mixed numbers.
The best thing about the calculator is that it also shows you all the activities along the way.
If the fractions are fractions (or mixed numbers), first convert them to improper fractions.
Printable Fraction Board Games For Multiplying And Dividing Fractions
Change the numerator and denominator of the fraction (the fraction after the ÷ symbol) and change the operator to ‘x’ instead of ‘÷’
Multiply the numerators of the fractions together and the denominators of the fractions together. This will give you the answer.
You may want to convert the fraction to its simple form, or convert it back to a mixed fraction (if it is an invalid fraction).
Use these worksheets to practice dividing whole numbers by fractions and dividing fractions by whole numbers.
Multiplication And Division Relationship For Fractions (video)
Here you will find a selection of fractions worksheets designed to help your child understand how to convert an improper fraction into a mixed number.
Here you will find a series of worksheets designed to help your child understand how to transform a fraction into its simplest form.
At the end of the quiz, you will be given the opportunity to view your results by clicking ‘View Results’.
This will take you to a new page where your results will be displayed. You can print your results from this page, as a pdf or as a hard copy.
Dividing Mixed Numbers With Mixed Numbers Worksheet
For incorrect answers, we have added helpful information explaining which answer is correct and why.
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Ways To Multiply Fractions With Whole Numbers
The Math Salamanders hope you enjoy using these free math worksheets and all of our other games and resources.
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