Fractions and Percentage - Algebra

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 .

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 .

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

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 .

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

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 .

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

We now have

.

We simplify it by dividing top and bottom by .

Final answer is .

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

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.

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 .

First, take the decimal and divide over .

We have

.

Then, shift the decimal one place to the right which means we add a to the denominator.

Final answer is .

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

First, take the decimal and divide over .

We have

.

Then, shift the decimal one place to the right which means we add a to the denominator.

We have .

We divide top and bottom by

and get as the final answer.

First, take the decimal and divide over .

We have

.

Then, shift the decimal two places to the right which means we add two s to the denominator.

We have .

Then if we divide top and bottom by ,

final answer will become .

First, let's convert the fraction into a decimal. By dividing into we get .

Then, we take the new value and place it over .

We have

.

Then, shift the decimal one place to the right which means we add one to the denominator.

We have .

Then if we divide top and bottom by ,

final answer will become .

First, take the decimal and divide over .

We have

.

Then, shift the decimal two places to the right which means we add two s to the denominator.

We have .

To find the fractional equivalent of a percent, we place that number over 100 and reduce the fraction if necessary:

First, take the decimal and divide over .

We have

.

Then, shift the decimal one places to the right which means we add one to the denominator.

We have .

The bar on top means repeating decimals. Let's convert the percent to a decimal. We shift the decimal two places to the left.

The value is then . Let's say is .

If we multiply both sides by , we get .

If we subtract both equations, we get .