# SSAT Middle Level Math : How to divide fractions

## Example Questions

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

is larger than 0.  Which of the following could be equal to ?

I.

II.

III.

III only

II only

I and II

I only

I, II and III

I, II and III

Explanation:

All of the answers can be divided by 3 to yield an answer larger than zero.  In fact, any positive number would be a viable answer.

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

Express the quotient as a fraction in lowest terms:

Explanation:

Rewrite the mixed fractions as improper fractions, change to a multiplication by inverting the second, cross-cancel, and multiply across:

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

Express the quotient as a fraction in lowest terms:

Explanation:

Rewrite the mixed fractions as improper fractions, change to a multiplication by inverting the second, cross-cancel, and multiply across:

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

Evaluate:

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

### Example Question #5 : How To Divide Fractions

Evaluate:

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

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

Evaluate:

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

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

Evaluate:

Explanation:

Multiply by the reciprocal, cross-cancel, then multiply numerators and denominators:

Evaluate:

Explanation:

Evaluate:

Explanation:

### Example Question #10 : How To Divide Fractions

Evaluate:

Explanation:

By order of operations, divide first. Since the divisor is a whole number, divide as is: