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Q:

# How do you convert a percentage to a ratio?

A:

To convert a percentage to a ratio, write out the percentage number as a fraction, reduce the fraction to its simplest form and convert the new fraction to a ratio by replacing the slash mark with a colon. Converting a percentage to a ratio takes only a few minutes and requires paper and a pencil.

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1. Write the percentage down as a fraction

Start by writing out the percentage as a fraction over 100. So, if the percentage is 46 percent, write it as the following: 46/100.

2. Reduce the fraction

Take the fraction down to its simplest form. The example, 46/100, can be reduced by dividing both numbers by 2, or 2/2. This yields the fraction 23/50, which cannot be reduced further.

3. Express the fraction as a ratio

Expressing a fraction as a ratio simply means replacing the slash mark with a colon. So, in the example, 23/50 becomes the ratio 23:50.

4. Convert a ratio into a fraction

To reverse the process, turn the ratio back into a fraction. To use a new example, convert the ratio 5:7 into 5/7. Divide the top number by the bottom number. In the example, this yields 0.71. Convert the decimal into a percentage by moving the period two places to the right and adding the percent symbol. In this case, the answer is 71 percent, or 71 percent.

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## Related Questions

• A:

You can easily write a number in percentage form as a fraction in its simplest form by converting your numbers from one form to the other. A percentage can be directly converted to a fraction, or a percentage can be converted to a decimal first, then to a fraction. In converting percentages to simplified fractions, it is important to keep in mind that percent means "out of 100."

• A:

A percentage is solved by transferring a percentage into a decimal or a fraction, or by transferring a decimal or fraction into a percentage. To transfer a percentage into a decimal, divide the percentage by 100. To transfer it into a fraction, multiply the fraction by 100.