# SAT Math : Complex Fractions

## Example Questions

### Example Question #1 : Complex Fractions

Simplify:

Explanation:

Rewrite this complex fraction using a division sign.

Take the reciprocal of the second term and change the division of the division sign.  Simplify.

### Example Question #2 : Complex Fractions

Solve:

Explanation:

First reduce the fraction. We can divide both the numerator and the denominator by 3.

Now our expression looks like this:

When you add or subtract fractions, you need to have the same denominator. The lowest common deonminator here is 2. So we need to multiply and solve:

### Example Question #3 : Complex Fractions

Explanation:

To add , first simply each term by rewriting the terms using a division sign.

Take the reciprocal of the terms after the division sign, and change the division sign to a multiplication sign. Simplify.

### Example Question #4 : Complex Fractions

Explanation:

The terms shown are complex fractions.  We first need to simplify each and find the least common denominator before solving.

Rewrite the complex fraction using a division sign.

Change the division sign to a multiplication sign, and take the reciprocal of the second term.

Repeat this step for the second term.