# ISEE Middle Level Math : How to divide fractions

## Example Questions

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### Example Question #1 : How To Divide Fractions

Explanation:

In order to solve:

First, solve the exponent equation within the numerator portion of the fraction:

Then, solve the equation within the parentheses:

Then, solve the entire equation in the numerator portion and divide the numerator by the denominator.

### Example Question #1 : How To Divide Fractions

Explanation:

To solve:

First, turn the mixed fractions into improper fractions.

Then, change the operation to multiplication and flip the second fraction. Solve accordingly and simplify the answer if possible.

### Example Question #2 : How To Divide Fractions

What is  divided by ?

Explanation:

### Example Question #4 : How To Divide Fractions

Evaluate:

Explanation:

Rewrite this horizontally as a division expression, rewrite as a product, cross-cancel, and multply across:

### Example Question #3 : How To Divide Fractions

Explanation:

First, convert each fraction into an improper fraction

Then, change the operation to mulitplication and flip the second fraction:

Reduce and solve accordingly:

### Example Question #6 : How To Divide Fractions

Explanation:

We never actually divide fractions.  When given a division problem, you multiply by the reciprocal of the 2nd fraction.

So, becomes .

This is the same as

### Example Question #7 : How To Divide Fractions

Divide:

Explanation:

Simply use the long division process. The quotient will be:

Solve:

Explanation:

### Example Question #9 : How To Divide Fractions

Simplify:

Explanation:

Rewrite this as a division, dividing the numerator by the denominator:

Simplify: