Divide Fractions by Fractions Worksheet

Free printable and online worksheets to help Grade 6 students practice dividing fractions by fractions.

We have four groups of dividing fractions worksheets.
Divide Fractions by Whole Numbers
Divide Whole Numbers by Fractions
Divide Fractions by Fractions
Divide Mixed Numbers

There are also some worksheets and dividing fraction word problems for online practice.

How to divide a fraction by a fraction?

Steps to divide a fraction by a fraction:

1. Keep the first fraction as it is.
2. Flip the second fraction by swapping the numerator and the denominator.
3. Cancel any common factors in the numerators and denominators.
4. Multiply the numerators together to get the new numerator, and multiply the denominators together to get the new denominator.
5. Simplify the resulting fraction.

For example:
Divide 2/3 by 1/4.
Keep the first fraction as it is: 2/3.
Flip the second fraction: 1/4 becomes 4/1.
Multiply the first fraction by the flipped second fraction:
(2/3) × (4/1) = (2 × 4) / (3 × 1) = 8/3.
Simplify the fraction: we can rewrite 8/3 as the mixed number 2 2/3.
So, dividing 2/3 by 1/4 results in 2 2/3.

For example:

 

Have a look at this video if you need to review how to divide a fraction by a fraction.

• How to Divide a Fraction by a Fraction

Click on the following worksheet to get a printable pdf document.
Scroll down the page for more Divide Fraction by Fraction Worksheets.

 

More Divide Fraction by Fraction Worksheets

Printable
Divide Fraction by Fraction Worksheet
(Answers on the second page.)

Online
Divide Fraction by Fraction

Divide Fractions Word Problems

1. A rectangular field is divided into 3/4 sections. If one section has an area of 1/6 square miles, what is the total area of the field?
   • Show Answer

     4 1/2 square miles

2. A cyclist travels 1/2 of a mile per minute. Another cyclists travels at a speed of 1/3 of a mile per minute. How many times faster is the first cyclist compared to the second cyclist?
   • Show Answer

     1 1/2 times

3. Tom needs 1/4 of a cup of sugar for a recipe. However, he has 2/3 of a cup of sugar left. How many times can he complete the recipe?
   • Show Answer

     2 2/3 times

Related Lessons & Worksheets

Lesson on dividing fractions by fractions

More Printable Worksheets

Try the free Mathway calculator and problem solver below to practice various math topics. Try the given examples, or type in your own problem and check your answer with the step-by-step explanations.

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