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

## Example Questions

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### Example Question #61 : How To Find A Fraction From A Percentage

What fraction is equivalent to

Explanation:

To find a fraction from a percentage, do the following:

means 40 per 100, so it is the same as

When we simplify, we get

So, if we write  as a fraction, we get .

### Example Question #62 : How To Find A Fraction From A Percentage

What fraction is equivalent to

Explanation:

To find a fraction from a percentage, do the following:

means 25 per 100, so it is the same as

When we simplify, we get

So, if we write  as a fraction, we get .

### Example Question #61 : How To Find A Fraction From A Percentage

What fraction is equivalent to 33%?

Explanation:

The percentage given

means 33 percent or per hundred. So we can re-write it as

Therefore,  is equivalent to .

Note:  Any percentage can be written over 100 and then simplified if needed.

### Example Question #64 : How To Find A Fraction From A Percentage

What fraction is equivalent to 45% ?

Explanation:

The percentage given

means 45 percent or per hundred. So, we can re-write it as

This can be simplified to

.

Therefore, the fraction that is equivalent to  is .

### Example Question #65 : How To Find A Fraction From A Percentage

Find the fraction:

Explanation:

A percentage is a number out of 100 parts.

Take the given number, remove the percentage sign, and divide this by 100.

Since this fraction cannot be reduced any further, this is the fraction.

### Example Question #66 : How To Find A Fraction From A Percentage

Convert  into a fraction in lowest terms

Explanation:

To convert percentages to fractions divide them by 100 as the denominator.

Then, make sure to reduce to the lowest terms by dividing the numerator and denominator by the same amount until no number goes into both evenly.

Since 72 and 100 are both even numbers they divide by 2.

Both 36 and 50 are still even so they can divide by 2 again.

Neither 18 nor 25 divide by the same number so this is the answer.

Alternatively, we could have divided 72 and 100 by 4 to get the answer in one step of reducing.

### Example Question #67 : How To Find A Fraction From A Percentage

Convert  to a fraction in lowest terms.

Explanation:

Since percentages are out of 100%, start first by dividing the percentage by 100 to convert it to a fraction.

Simplify the fraction to lowest terms by dividing the numerator (top) and denominator (bottom) by the same number or greatest common factor you can think of. In this case, since both 66 and 100 are even numbers, I know that 2 is a factor so I will divide both numbers by 2.

I check again if anything divides into both the top and the bottom but nothing does so this must be the fraction reduced to lowest terms.

### Example Question #61 : How To Find A Fraction From A Percentage

Convert  to a fraction in lowest terms

Explanation:

Since this percentage has a decimal in part of it, first convert it to a decimal by dividing by 100.

Now, turn this decimal into a fraction by putting in the numerator and making the denominator the furthest right place value in the decimal. In this case, that would be the 5, which is in the thousandths place/

Finally, reduce this to lowest terms by seeing what number divides into both the numerator and denominator. I know 5 divides into both numbers so I will use that first.

Neither number has any common factors, so this is the final asnwer

### Example Question #69 : How To Find A Fraction From A Percentage

Convert  to a fraction.

Explanation:

A percent is defined as a number over 100 parts.

Remove the percentage sign and divide the 130 by 100.

Reduce this fraction by cancelling the zeros in the ones place.

### Example Question #70 : How To Find A Fraction From A Percentage

Convert 60% into a reduced fraction.