# Praxis Math : Apply understanding of multiplication and division to divide fractions by fractions

## Example Questions

### Example Question #1 : Number And Quantity

Solve:

Possible Answers:

Cannot be determined

Correct answer:

Explanation:

In order to divide a fraction by a second fraction, we can change the problem to a division problem by multiplying the first fraction by the reciprocal of the second fraction. It can be written algebraically in the following way:

Let's use this rule to solve our problem.

Rewrite.

Solve.

Convert to a mixed number.

### Example Question #2 : Apply Understanding Of Multiplication And Division To Divide Fractions By Fractions

Solve:

Possible Answers:

Correct answer:

Explanation:

In order to divide a fraction by a second fraction, we can change the problem to a division problem by multiplying the first fraction by the reciprocal of the second fraction. It can be written algebraically in the following way:

Let's use this rule to solve our problem.

Rewrite.

Cross out like terms.

Solve.

### Example Question #3 : Apply Understanding Of Multiplication And Division To Divide Fractions By Fractions

Solve:

Possible Answers:

Correct answer:

Explanation:

In order to divide a fraction by a second fraction, we can change the problem to a division problem by multiplying the first fraction by the reciprocal of the second fraction. It can be written algebraically in the following way:

Let's use this rule to solve our problem.

Rewrite.

Cross out like terms.

Solve.