# SSAT Middle Level Math : How to multiply fractions

## Example Questions

### Example Question #2940 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Solve:

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

can be reduced by dividing both sides by

### Example Question #2941 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Solve:

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

can be reduced by dividing both sides by

### Example Question #291 : How To Multiply Fractions

The above rectangle, which is divided into squares of equal size, has area . Give the area of the shaded portion of the rectangle.

Explanation:

The area of the rectangle can be rewritten as

5 out of the 12 segments, or , of the rectangle, is shaded, so the area of the shaded region is

Cross-cancelling:

### Example Question #811 : Fractions

Each of the stars in the above diagram is divided into parts with the size and shape, and each star has area 14. Give the area of the shaded region.

Explanation:

Four whole stars and three out of five parts of a fifth are shaded - this is  stars. Each star has area 14, so the shaded region has area

.

### Example Question #812 : Fractions

The above pentagon, which is divided into triangles of equal size and shape, has area

Give the area of the shaded region.

Explanation:

4 out of 5 triangles, or , of the pentagon is shaded in, so the shaded area is

Cross-cancelling:

### Example Question #813 : Fractions

Solve:

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

### Example Question #814 : Fractions

Solve:

Explanation:

When we multiply fractions, we multiply the numerator by the numerator and the denominator by the denominator.

### Example Question #815 : Fractions

Dan collected  of a bag of leaves. Sean collected  times as many bags as Dan. How many bags did Sean collect?

Explanation:

When we multiply a fraction by a whole number, we first want to make the whole number into a fraction. We do that by putting the whole number over  Then we multiply like normal.

Because  can go into  only  time and  is left over.

Sean collected  bags of leaves.

### Example Question #816 : Fractions

Solve the following:

Explanation:

To multiply fractions, we will multiply the numerator together, then we will multiply the denominators together.  So, we get

Evaluate: