# SSAT Upper Level Math : How to add fractions

## Example Questions

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

Find the arithmetic mean of the following five numbers.

Explanation:

Add the numbers, then divide by or, equivalently, multiply by .

Find the common denominator of the terms we are adding.

Multiply and simplify.

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

Scott gave  of the chocolate chip cookies he made to Cindy, and he gave  of the cookies to Stephanie. What fraction of his chocolate chip cookies did he give away?

Explanation:

This question wants you to add  and . First, convert both fractions so that they share the same denominator.

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

A poll was conducted in a class to see what fraction of the class plays sports.  of the class plays basketball, and  of the class plays soccer. The rest of the class do not play any sports. What fraction of the class plays a sport?

Explanation:

To find what fraction of the class plays a sport, add together  and .

First, convert both fractions so that the denominators are the same.

Now, you can add them together.

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

Peter ate  of a pie for breakfast, then ate  of the pie as a morning snack. How much of the pie did Peter eat?

Explanation:

To find how much of the pie Peter ate, you will need to add together  and .

Start by converting both fractions so that the denominators are the same.

Now, you can add the fractions.

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

Timothy spends  of his weekly allowance on comic books and  of his weekly allowance on candy. What fraction of his weekly allowance does he spend on comic books and candy?

Explanation:

To find out how much of his weekly allowance Timothy spends on candy and comic books, add  and  together.

To do so, you need to first convert both fractions so that they have the same denominator.

Now you can add together the fractions.

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

In a jar of marbles,  of the marbles are red and  of the marbles of blue. What fraction of the jar of marbles are red and blue marbles?

Explanation:

To find out what fraction of the jar are red and blue marbles, add  and  together.

First, you need to convert the fractions so that they have the same denominator. Since  is a multiple of , you only need to change one fraction.

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

Jim baked two batches of cookies. In the first batch, he used  cup of sugar. In his second batch, he used  cups of sugar. In cups, how much sugar did he use in total?

Explanation:

To find how much sugar he used in total, add  and  together.

First, make sure that both fractions have the same denominator before you add them. Since  is a multiple of , you will need to convert  into  by multiplying both numerator and denominators by .

### Example Question #181 : Fractions

Lucy gave away  of her hair ribbons to Megan and  of her hair ribbons to Patrice. What fraction of her hair ribbons did Lucy give away?

Explanation:

You will need to add together  and .

Since  is a multiple of , we can use  as the common denominator.

Then,

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

Michael ate  of a cake for breakfast, and then  of the same cake for dinner. How much of the cake did Michael eat?

Explanation:

To figure out how much cake Michael ate, you will need to add the two fractions given in the question.

First, find the common denominator of both fractions and convert them so that they have that denominator.

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

On a certain game show, the audience is polled.  of the audience enjoys playing football, and  of the audience enjoys playing basketball. What fraction of the audience enjoys playing football and basketball?