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First let N = the number that you want to convert. Now multiply the number by a power of ten based on the quantity of digits that repeat. So if 1 digit repeats, multiply by 10^1 = 10. If 2 digits repeat, multiply by 10^2 = 100, etc. Subtract the original from the new. So you will have something like 10N - N = 9N = (some number), or 100N - N = 99N = (a number). Then divide both sides by 9 or 99 or whatever you have, then you have N = (something)/99, etc. Simplify the fraction.
Example: N = 0.83333..... [one digit repeats] --> 10N = 8.33333....
10N - N = (8.33333.....) - (0.83333....) = 7.5, so 9N = 7.5 --> 90N = 75.
N = 75/90 = 5/6
One more example: N = 0.0909.... ; 100N = 9.0909....
100N - N = (9.0909...) - (0.0909...)
99N = 9 ---> N = 9/99 = 1/11
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∙ 12y ago
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How do you convert a fraction to a decimal with a remainder?
To convert a fraction to a decimal, divide the denominator into the numerator. Decimals don't have remainders.
How do you convert an improper fraction to a decimals?
You divide the numerator by the denominator.
How do you determine if a fraction is equivalent?
One way to do it is to convert them to decimals.
Convert the decimals 0.125 to a fraction?
0.125 as a fraction is 1/8 in its simplest form
How do you convert decimals to fractions and fraction to decimals?
To convert a fraction to a decimal divide the numerator (top number) by the denominator (bottom number). To convert a percentage to a decimal divide it by 100. (A percentage is the numerator of a fraction with 100 as the denominator.)
Why are negative repeating decimals, rational?
If you convert repeating decimals into a fraction, you see that the repeating decimals are rational.
How do you convert fractions to fractions?
Well if they are already a fraction you do not need to convert them to a fraction. If you mean "How do you convert fractions to decimals" then I can help you there. If you have a fraction you want to make a decimal you simply divide. The little bar in the fraction means "divide" So if you have 3 over 4, you simply divide 3 by 4 which equals .75.
How do you convert a fraction to a decimal with a remainder?
To convert a fraction to a decimal, divide the denominator into the numerator. Decimals don't have remainders.
Convert the following decimals to fraction 0.50?
1/2
How do you convert an improper fraction to a decimals?
You divide the numerator by the denominator.
How do you determine if a fraction is equivalent?
One way to do it is to convert them to decimals.
Convert the decimals 0.125 to a fraction?
0.125 as a fraction is 1/8 in its simplest form
How do you organize fraction by size?
Two ways. Convert them to common denominators or convert them to decimals.
How do you convert decimals to fractions and fraction to decimals?
To convert a fraction to a decimal divide the numerator (top number) by the denominator (bottom number). To convert a percentage to a decimal divide it by 100. (A percentage is the numerator of a fraction with 100 as the denominator.)
How do you convert fractions to repeating decimals?
To convert a fraction to a decimal, divide the top number by the bottom number.
What has the same form as a decimal in a different way?
That might refer to a fraction. In general you can convert decimals to fractions, and fractions to decimals.
How is fraction related to decimal?
They can show the same number, just in different ways. You can convert fractions into decimals or decimals into fractions.
