Dividing Fractions
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Arithmetic Lessons
Math Worksheets
Examples, solutions, and videos that will explain how to divide fractions.
Dividing Fractions
Dividing fractions is a straightforward process that relies on the concept of reciprocals and converts the division problem into a multiplication problem. The popular mnemonic for remembering the steps is “Keep, Change, Flip”
The following diagram shows how to divide fractions using the Keep-Change-Flip method. Scroll down the page for more examples and solutions on dividing fractions by fractions.
Fraction Worksheets
Practice with the following worksheets.
Printable & Online Fractions Worksheets
The Basic Rule (“Keep, Change, Flip”)
To divide one fraction by another:
- Keep the first fraction as it is.
- Change the division sign (÷) to a multiplication sign (×).
- Flip the second fraction (find its reciprocal).
- Then, multiply the fractions as usual (numerator by numerator, denominator by denominator).
- Simplify the resulting fraction if possible.
What is a Reciprocal?
The reciprocal of a fraction is obtained by swapping its numerator and denominator.
The reciprocal of \(\frac{a}{b}\) is \(\frac{b}{a}\).
The reciprocal of a whole number (like 5) is found by first writing it as a fraction \(\frac{5}{1}\), then flipping it \(\frac{1}{5}\).
Step-by-Step Example:
Problem: \(\frac{1}{2} \div \frac{3}{4}\)
- Keep the first fraction: \(\frac{1}{2}\)
- Change the division sign to multiplication: ×
- Flip the second fraction (find its reciprocal): \(\frac{3}{4}\) becomes \(\frac{4}{3}\)
- Now you have a multiplication problem: \(\frac{1}{2} × \frac{4}{3}\)
\(\frac{1}{2} × \frac{4}{3} = \frac{4}{6} = \frac{2}{3}\)
Videos
Dividing fractions
Examples:
3/4 ÷ 2/7
15/16 ÷ 9/22
2/3 ÷ 3/5
Dividing fractions
Examples:
2/3 ÷ 5/6
2/3 ÷ 5/2
5/7 ÷ 10/3
2 ÷ 1/3
GMAT Prep Math - Arithmetic - Dividing Fractions
Examples:
1/2 ÷ 3/5
3 3/5 ÷ 1 2/3
Dividing Fractions with Keep, Change, Flip
Fractions Rap Song
Check out this lesson on types of fractions:
Types of Fractions
Check out this lesson on equivalent fractions:
Equivalent Fractions
Check out this lesson on how to convert between mixed numbers and improper fractions:
Mixed Numbers & Improper Fractions
Check out this lesson on how to convert between fractions and decimals:
Fractions & Decimals
Check out these lessons on adding, subtracting, multiplying, and dividing fractions:
Adding Fractions
Subtracting Fractions
Multiplying Fractions
Dividing Fractions
Check out our most popular games!
Fraction Concoction Game:
Master fractions in the lab: mix, add, and subtract beakers to create the perfect concoction!
Fact Family Game:
Complete fact families and master the link between addition & subtraction and multiplication & division.
Number Bond Garden:
Clear the board by matching number pairs that sum to ten in this garden-themed mental math puzzle.
Online Addition Subtraction Game:
Practice your addition and subtraction skills to help the penguin find its mummy.
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