What is 0.916 repeating as a fraction?
0.916666…=
0.916 repeating as a fraction is 11/12 — exactly, not rounded. As a percent it is ≈ 91.67%.
Improper fraction 11/12Percent ≈ 91.67%Before simplifying 825/900
How to convert 0.916666… to a fraction
- Let x = 0.9166… The repeating block "6" has 1 digit.
- Multiply by 10^3 and by 10^2 so the repeating tails line up, then subtract.
1000x − 100x = 916 − 91 - That gives 900x = 825, so x = 825/900.
- Simplify by dividing top and bottom by the GCF, 75.
825/900 = 11/12
Fractions equal to 11/12
22/24 = 33/36 = 44/48 = 55/60 = 110/120 = 11/12. All are equivalent; 11/12 is the one in lowest terms.
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Questions people ask
What is 0.916 repeating as a fraction?
0.916666… (0.916 repeating) is exactly 11/12. A repeating decimal is never "about" a fraction: the repeating digits make it equal to 11/12 exactly.
How do you turn 0.916 repeating into a fraction?
Call the number x, multiply it by a power of 10 so the repeating tails line up, and subtract. The tails cancel, leaving 825/900, which simplifies to 11/12.
What is 0.916 repeating as a percent?
11/12 × 100 ≈ 91.67% (the digits keep repeating, so this is rounded to 2 places).