How To Change A Percent Into A Fraction

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Converting numbers betwixt percents, fractions, and decimals is a necessary bones math skill. The concepts are quite unproblematic once you learn them. Non only will knowing how to convert small numbers help you on your test, simply information technology is besides useful for financial calculations.

Conversion Crook Sheet

one
Move the decimal point two places to the left to convert a per centum to a decimal. Unless otherwise noted, in a percent, the decimal point comes at the end of the last number. For case, envision that 75% actually looks like 75.0%. Moving the decimal point 2 places to the left converts the percentage to a decimal. This is the same affair as dividing the number by 100. Examples:^[1]
- 75% converts to .75
- 3.1% converts to .031
- 0.v% converts to 0.005
ii
Express the per centum as a fraction of 100. Writing a number as a fraction of 100 is simply some other way to write a perce. The number of the percentage becomes the numerator of the fraction and 100 becomes the denominator. Simplify the fraction to its lowest grade.
- Example: 36% turns to 36/100.
- To simplify, look for the highest number that goes into 36 and 100. In this case, that would exist four.
- Decide how many times 4 goes into 36 and 100. When you simplify, the reply would be 9/25.
- To bank check that yous've converted correctly, divide 9 by 25 (0.36) and multiply by 100 (36%). This number should equal your original per centum.
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3

Remove the pct sign. Once the percent has been converted to a decimal or fraction, the % sign is no longer appropriate. Remember, percent only means per i hundred, and so if you forget to remove the per centum sign after converting, your reply will exist off by one hundred.^[2]

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i

Multiply the decimal by 100 to change information technology to a percent. Another way of saying this is to movement the decimal point 2 places to the correct. A pct just ways "per one hundred", so the decimal becomes "per ane hundred" afterwards being multiplied. Don't forget to add the pct sign after multiplying.^[3] Examples include: 0.32 becomes 32%, 0.07 becomes 7%, i.25 becomes 125%, 0.083 becomes 8.3%.
2
Convert a terminating decimal to a fraction. A terminating decimal is one that does not repeat. Move the decimal point as many places to the right as you have decimals. This number is now the numerator of the fraction. The denominator is a 1 with every bit many zeros as you had decimals in the original number. Simplify the fraction at the terminate.^[iv]
- For example: 0.32 has two decimal places. Motility the decimal two places to the right and carve up by 100: 32/100. With a common cistron of iv, the fraction simplifies to 8/25.
- Another example: 0.eight merely has i decimal place. Move the decimal ane place to the right and divide by 10: 8/10. With a common factor of 2, the fraction simplifies to four/five.
- To check your piece of work, just dissever out the fraction and make sure it equals your original decimal: viii/25 = 0.32.
3
Change a repeating decimal into a fraction. A repeating decimal is one that has a sequence of numbers that continually repeat. For case, if the number is 0.131313... there are 2 repeating decimals (13 is repeating). Determine how many repeating decimals there are and then multiply the decimal by 10ⁿ, where northward is the number of repeating decimals.^[5]
- For example, 0.131313... is multiplied by 100 (x to the power of 2) and we go 13.131313...
- To decide the numerator (top number), decrease out the repeating portion of the decimal. For case, thirteen.131313... - 0.131313... = xiii, so the numerator is 13.^[6]
- To determine the denominator (lower number), subtract 1 from the number you multiplied with. For instance, 0.131313... was multiplied by 100, so the denominator is 100 - one = 99.
- The final fraction for 0.131313… is 13/99
- Boosted Examples:
  - 0.333... becomes 3/ix
  - 0.123123123... becomes 123/999
  - 0.142857142857... becomes 142857/999999
  - If necessary, take the fraction to the lowest term. For example, 142857/999999 becomes 1/vii.
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1
Carve up the numerator by the denominator to change the fraction to a decimal. Interpret the fraction bar to mean "divided by". This means for any fraction x/y, it is the same as saying ten divided by y.^[7]
- For case: The fraction iv/8 yields the decimal 0.v.
two
Determine the number of decimal points. Many numbers don't separate evenly into each other. When you carve up them, you have to determine how many decimal places you lot desire to give in your answer. Oftentimes, the standard is two places. Remember the rules of rounding when truncating a fraction: if the next number is a 5, round the previous number up. For example, 0.145 rounds to 0.15.
- For case: The fraction 5/17 yields the decimal 0.2941176470588…
- The last decimal can be written simply as 0.29.
3
Carve up the fraction and then multiply by 100 to change to a percent. Just as y'all did to convert the fraction to a decimal, divide the numerator by the denominator. Multiply the resulting decimal past 100 and add a percent sign to finish the conversion.^[8]
- If yous had 4/8, dividing 4 by 8 would give yous .50, and so multiplying that number by 100 would give you l. Adding a percentage sign gives you your final answer past fifty%.
- Additional Examples:
  - 3/10 = 0.30 * 100 = 30%
  - 5/8= 0.625 * 100 = 62.5%
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Conversion Help

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Question

How practise I convert 27 over 56 into a fraction?

"27 over 56" is already a fraction: 27/56.
Question

What is three and 1 over two as a decimal?

iii½ = 3.v.
Question

What is 62.5 as a fraction?

62.5 (or the mixed number 62½) is the equivalent of the improper fraction 625/10, which reduces to 125/two. 125 ÷ 2 = 62.5.
Question

What is ix% of 300 in fraction form?

9% of 300 is 27. If yous insist on a fraction, it'southward 27/1.
Question

How practice I catechumen 82 3/4 into a fraction?

Multiply the whole number past the denominator, and add the numerator. That makes the new numerator. The denominator doesn't modify. And so in this example, multiply 82 by 4, and add 3. That's the numerator. The denominator is iv.
Question

I have vii prizes in a golf tournament. 75% become to low gross and 25% get to low cyberspace. What would those numbers be, or tin it exist done with 7?

This would work only with multiples of four (such equally 8). With 7, you would take to circular off to the nearest whole number, such every bit two and 5.
Question

How do I convert a fraction of a percentage to a decimal?

Beginning express the fraction as a decimal. Then divide the decimal by 100, and place a percent marking to the right. For case, if you desire to convert ¼% to a decimal, express the fraction ¼ as the decimal .25. Divide the decimal by 100, which is .0025. Your upshot is .0025%.
Question

What percent of 250 is 78.75?

Divide 78.75 by 250. That equals 0.315, which is the same as 31.5%.
Question

How do I limited in decimal and fractions in lowest terms 36%?

36% = 0.36. It is besides equivalent to 36/100, which reduces to ix/25.
Question

How practice I turn 18/82 into a percent?

18 ÷ 82 = 0.2195, which rounds off to 0.22. That's the equivalent of 22/100 or 22%.

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Knowing your times-tables will help you a lot.
Be warned that teachers can generally tell when a estimator has been used. If y'all are not supposed to use a reckoner, it'due south probably best not to.
Many calculators accept a fraction push. It may be possible to utilize the calculator to reduce the fraction to everyman terms. Check your instruction manual for details.

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Make sure the decimal point is in the right place.
When converting a fraction into a decimal, be sure to carve up the numerator by the denominator.

Things You'll Need

Paper and pencil
A standard reckoner

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Article Summary X

The correct way to convert percents, fractions, and decimals depends on what you're trying to convert them to. To catechumen a percent to a decimal, simply move the decimal point 2 places to the left. To convert a fraction to a decimal, divide the numerator by the denominator. If you lot want to convert a decimal to a percent, multiply it by 100. If you want to make a percentage a fraction, just put information technology over 100 and so simplify. To change a fraction to a percent, dissever the fraction then multiply information technology past 100. If you want to acquire how to catechumen a repeating decimal into a fraction, go on reading the commodity!

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