How to find a fraction from a percentage - Algebra 1

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Question

How do you display 40% as a fraction?

Answer

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 .

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Question

What is 135% of 45?

Answer

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 .

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Question

What is 12.5% expressed as a fraction?

Answer

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 .

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Question

What is as a fraction?

Answer

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

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Question

Answer

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Question

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?

Answer

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 .

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Question

What fraction represents ?

Answer

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 .

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Question

Convert to a fraction.

Answer

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

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Question

Convert into a reduced fraction.

Answer

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.

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Question

Convert into a reduced fraction.

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 .

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Question

Convert into a reduced fraction.

Answer

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 .

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Question

Convert into a reduced fraction.

Answer

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.

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Question

Convert into a reduced fraction.

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 .

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Question

Convert as a reduced fraction.

Answer

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 .

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Question

Convert to a reduced fraction.

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 .

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Question

Convert to a reduced fraction.

Answer

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 .

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Question

Convert into a reduced fraction.

Answer

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 .

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Question

Convert into a reduced fraction.

Answer

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 .

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Question

Convert to a reduced fraction.

Answer

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 .

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Question

in the form of a fraction is .

Answer

Percentages are equivalent to parts of a whole, or part of . then is equivalent to just like is equivalent to , and is equivalent to . An easy way to remember percentage to fraction conversions is to simply write the percentage over one hundred. Any percentage can be placed over one hundred and then reduced.

Further more, we are able to reduce this fraction by finding common factors in both the numerator and the denominator.

By canceling out the five in the numerator and the denominator we get our reduced fraction form and final answer of,

.

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