# GED Math : Decimals and Fractions

## Example Questions

### Example Question #81 : Numbers

What is a fifth of 300?

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.

So, we know a fifth is the same as . Now, we can multiply.

Therefore,  of 300 is 60.

### Example Question #82 : Numbers

What is  of 144 ?

Explanation:

To find a fraction of a whole number, we will multiply the two together. So, we get

Now, we can simplify before we multiply. The 3 and the 144 can both be divided by 3. So, we get

Therefore,  of 144 is 96.

### Example Question #41 : Decimals And Fractions

One-fourth of what number is 16 ?

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number. In this case, we do not know the whole number, but we do know the answer.  So, we can substitute what we know. So, we get

Now, we will solve for x. We get

### Example Question #42 : Decimals And Fractions

What is  of  ?

Explanation:

To find a fraction of a number, we will multiply the two together. So, we get

Therefore,  of  is .

### Example Question #43 : Decimals And Fractions

What is  of 25?

Explanation:

To find a fraction of a whole number, we will multiply the two together. So, we get

Now, we can simplify before we multiply. The 5 and the 25 can both be divided by 5. So, we get

Therefore,  of 25 is 10.

### Example Question #44 : Decimals And Fractions

What is a third of 36?

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number.

Now, we know a third is the same as . So, we get

Therefore, a third of 36 is 12.

### Example Question #45 : Decimals And Fractions

One-fifth of what number is 19 ?

Explanation:

To find a fraction of a whole number, we will multiply the fraction by the whole number. In this case, we do not know the whole number, but we do know the answer. So, we can substitute what we know. So, we get

Now, we will solve for x. We get

### Example Question #46 : Decimals And Fractions

What is a third of 42?

Explanation:

To find a fraction of a number, we will multiply the two together.

Now, we know a third is the same as . So, we get

Therefore, a third of 42 is 14.

### Example Question #47 : Decimals And Fractions

What is a quarter of 60?

Explanation:

To find a fraction of a whole number, we will multiply the two together.

Now, we know a quarter is the same as . So, we get

Therefore, a quarter of 60 is 15.

### Example Question #48 : Decimals And Fractions

What is  of 93?

Explanation:

To find a fraction of a whole number, we will multiply the two together. So, we get

Now, we can simplify to make things easier. The 3 and the 93 can both be divided by 3. So, we get

Therefore,  of 93 is 62.