# Algebra 1 : How to find a fraction from a percentage

## Example Questions

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### Example Question #1 : How To Find A Fraction From A Percentage

How do you display 40% as a fraction?

Explanation:

To display a percentage as a fraction, divide the number of percent by 100 to give you . Then simplify the fraction by dividing each number by 20, yielding  .

### Example Question #2 : How To Find A Fraction From A Percentage

What is 135% of 45?

Explanation:

This is just a simple problem of translation.   We know that  and can translate the rest of the problem into this form: .  Merely multiply and get the answer, namely .

### Example Question #3 : How To Find A Fraction From A Percentage

What is 12.5% expressed as a fraction?

Explanation:

is easier to simplify if you multiply top and bottom by 2.

Then it becomes .

Divide the numerator and denominator by 25 and you get .

### Example Question #4 : How To Find A Fraction From A Percentage

What is  as a fraction?

Explanation:

To display a percentage as a fraction, divide the number of percent by 100 to give you .

Explanation:

### Example Question #6 : How To Find A Fraction From A Percentage

Each year, the value of a car goes down by 10% of its previous year's value. What fraction of its original new value is the value of a three-year old car?

Explanation:

The reduction of the value of a car by 10% is the same as the car retaining 90%, or , of its value.

If a car is worth  when new, then it is worth  after one year. Its value after two years will be times its value after one year, or . After three years, it will be  times its value after two years, or .

### Example Question #7 : How To Find A Fraction From A Percentage

Convert  to a fraction.

Explanation:

To convert a percentage into a fraction, remove the percentage sign and divide the number by 100.

### Example Question #8 : How To Find A Fraction From A Percentage

What fraction represents ?

Explanation:

When finding the fraction from a percent, express that value over .

We now have

.

We simplify it by dividing top and bottom by .

### Example Question #9 : How To Find A Fraction From A Percentage

Convert  into a reduced fraction.

Explanation:

First, we take that value and divide over .

We have

.

Next, since there is a decimal present, we shift that decimal one place so we have a whole number. Since we did that to the top, we add one zero to the bottom since we shifted one place. We have

.

To reduce, we divide top and bottom by

to get  as the final answer.

### Example Question #10 : How To Find A Fraction From A Percentage

Convert  into a reduced fraction.

Explanation:

We take that value and divide that over .

We get

.

Next we can reduce by taking one zero from top and bottom and also divide top and bottom by .

This gives us an answer of

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