# ISEE Middle Level Math : How to divide fractions

## Example Questions

### Example Question #11 : How To Divide Fractions

Simplify:

Explanation:

Rewrite as a division, then solve:

### Example Question #12 : How To Divide Fractions

Evaluate:

Explanation:

To divide any number by a fraction, we can multiply that number by the reciprocal of the fraction. That means:

So we have:

### Example Question #13 : How To Divide Fractions

Simplify:

Explanation:

Multiply each term by 6:

### Example Question #14 : How To Divide Fractions

Evaluate:

Explanation:

A mixed number represents the sum of an integer and a fraction. In order to evaluate this problem first we need to change the mixed number ( ) to an improper fraction. Improper fractions are fractions whose numerator is greater than the denominator. So we can write:

Now we should evaluate   and we have:

### Example Question #15 : How To Divide Fractions

Simplify:

Explanation:

We can first find a common denominator for the expression in the numerator, which is . This gives us:

### Example Question #531 : Numbers And Operations

Which of the following is the reciprocal of  ?

Explanation:

First, rewrite this as an improper fraction:

The reciprocal of an improper fraction can be found by switching its numerator and denominator, retaining the negative sign, so the reciprocal is .

### Example Question #532 : Numbers And Operations

Which of the following is the reciprocal of 2.8?

Explanation:

First, rewrite this as an improper fraction:

The reciprocal of an improper fraction can be found by switching its numerator and denominator, so the reciprocal is .

Solve:

Explanation:

### Example Question #534 : Numbers And Operations

Which of the following is the reciprocal of 31.25?

Explanation:

Rewrite 31.25 as a fraction:

Exchange the positions of the numerator and the denominator to get . Now divide 4 by 125:

Solve: