# SSAT Upper Level Math : How to multiply fractions

## Example Questions

### Example Question #31 : Operations With Fractions

In Timothy's 3rd grade class,  of the students enjoy eating vegetables. Of the ones who enjoy eating vegetables,  say that spinach is their favorite vegetable. What fraction of the class say spinach is their favorite vegetable?

Explanation:

Multiply  by  to find out what fraction of the students say spinach is their favorite vegetable.

### Example Question #32 : Operations With Fractions

At an arcade,  of the games are fighting games. Of those games,  are Japanese games. What fraction of the games at the arcade are Japanese fighting games?

Explanation:

To find what fraction of the games are Japanese fighting ones, multiply  by .

### Example Question #33 : Operations With Fractions

Of the students in Hannah's high school band,  play a woodwind instrument. Of the woodwind players,  plays the clarinet. What fraction of the band plays the clarinet?

Explanation:

Multiply  by  to find out what fraction of the students play the clarinet.

### Example Question #34 : Operations With Fractions

In the morning, Tina ate  of a cake. For her afternoon snack she ate  as much as she did in the morning. What fraction of the cake did Tina eat for her afternoon snack?

Explanation:

Multiply  by  to find how much cake Tina ate in the afternoon.

### Example Question #35 : Operations With Fractions

Multiply:

Explanation:

To multiply fractions, multiply the numerators together then the denominators together.

After the multiplication is complete simply the fraction to get the final answer.

### Example Question #36 : Operations With Fractions

Multiply,

Explanation:

To multiply fractions, multiply the numerators together then, multiply the denominators together.

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

Which of the following is closest to the product of  and  ?

Explanation:

First convert the mix fractions into improper fractions by multiplying the whole number with the numerator and then adding that number to the numerator while all keeping it over the denominator.

When multiplying two fractions, multiply the numerators together and the denominators together.

Divide:

,

so

.

This makes 55 the response closest to the actual product.

### Example Question #38 : Operations With Fractions

Multiply these fractions:

Explanation:

To multiply the fractions, simply multiply the numerators together and the denominators together.

Then simplify the fraction accordingly:

### Example Question #41 : Operations With Fractions

Multiply these fractions:

Explanation:

To multiply the fractions, simply multiply the numerators together and the denominators together.

Since this fraction is in its simplest form, that is the final answer.

### Example Question #42 : Operations With Fractions

Multiply these fractions: