# Algebra 1 : Fractions and Percentage

## Example Questions

### Example Question #1 : How To Find Fractional Percentages

Rewrite   as a fraction in lowest terms.

Explanation:

%

Cross-cancel by dividing 64 and 100 by 4:

which is the fraction we want.

### Example Question #2 : How To Find Fractional Percentages

What is  of ?

Explanation:

of  can be calculated as follows.

First, we need to convert into a fraction that we can use in calculations. The percentage symbol tells us that the value is divided by .

Now we can multiply our given value by this fraction to find our answer.

### Example Question #3 : How To Find Fractional Percentages

What is  % of  ?

Explanation:

Set up a proportion statement:

Cross-multiply and solve for :

### Example Question #4 : How To Find Fractional Percentages

is what percent of  ?

%

%

%

%

%

%

Explanation:

Set up a proportion statement:

Simplify the right side and solve for :

### Example Question #1 : How To Find Fractional Percentages

What percent of 0.6 is 0.0003?

2 %

0.002 %

0.5 %

0.02 %

0.05 %

0.05 %

Explanation:

Let  be the percent. Then

### Example Question #6 : How To Find Fractional Percentages

What is  % of  ?

Explanation:

Set up the proportion statement:

Cross-multply and solve for :

### Example Question #7 : How To Find Fractional Percentages

What is  % of  ?

Explanation:

Set up the proportion statement:

Cross-multply and solve for :

### Example Question #8 : How To Find Fractional Percentages

What is  of ?

Explanation:

Set up a proportion:

Cross-multiply and solve for :

### Example Question #9 : How To Find Fractional Percentages

What is  of ?

Explanation:

There are a few ways we can approach this problem. We know that is , or .

We also know that for percentages, "of" means multiply, so we can set up a multiplication problem:

Simplifying gives

.

What is of ?