Q&A for How to Convert Repeating Decimals to Fractions

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How do I make an improper fraction into a mixed number?

Donagan

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To convert an improper fraction to a mixed number, divide the denominator into the numerator. The whole number of the quotient is the whole number of the mixed number. If the quotient also has a remainder, the remainder is the numerator of the fraction in the mixed number. The denominator of the fraction is the same as the denominator of the improper fraction. For example, to convert 13/5 to a mixed number, divide 5 into 13. The quotient is 2-3/5. 2 is the whole number of the mixed number. 3 is the numerator of the fraction of the mixed number. 5 is the denominator of the fraction of the mixed number. Thus, the mixed number is 2-3/5 (two and three-fifths).

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How do I solve a cubic equation?

Donagan

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See Solve a Cubic Equation .

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How do I show that the reciprocal of 0.131313 is 7.5?

Donagan

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Actually it's not. Use a calculator to divide 1 by 0.131313. You'll get 7.615.

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How do I turn 1.54 repeating into an improper fraction?

Donagan

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1.54 = 154 / 100, or 15,454 / 10,000, or 1,545,454 / 1,000,000 (and so on).

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What if the repeating decimal is negative?

Community Answer

Use one of these methods to find the fraction equal to the absolute value of the number. Then change the sign to make the fraction negative if the decimal was negative. For example, if 0.2666... = 4/15, then -0.2666.... = -4/15.

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How can I convert 3.33 to a decimal?

Community Answer

3.33 is already in decimal form.

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How do i rewrite 3.41 41 repeating to a fraction?

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3.4141... equals 3 4,141/10,000 or 3 414,141/1,000,000, etc. It's easier (and more accurate) simply to write the repeating decimal.

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