What is 0.54 repeating as a fraction?
0.5454…=
0.54 repeating as a fraction is 6/11 — exactly, not rounded. As a percent it is ≈ 54.55%.
Improper fraction 6/11Percent ≈ 54.55%Before simplifying 54/99
How to convert 0.5454… to a fraction
- Let x = 0.5454… The repeating block "54" has 2 digits.
- Multiply by 10^2 and by 10^0 so the repeating tails line up, then subtract.
100x − 1x = 54 − 0 - That gives 99x = 54, so x = 54/99.
- Simplify by dividing top and bottom by the GCF, 9.
54/99 = 6/11
Fractions equal to 6/11
12/22 = 18/33 = 24/44 = 30/55 = 60/110 = 6/11. All are equivalent; 6/11 is the one in lowest terms.
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Questions people ask
What is 0.54 repeating as a fraction?
0.5454… (0.54 repeating) is exactly 6/11. A repeating decimal is never "about" a fraction: the repeating digits make it equal to 6/11 exactly.
How do you turn 0.54 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 54/99, which simplifies to 6/11.
What is 0.54 repeating as a percent?
6/11 × 100 ≈ 54.55% (the digits keep repeating, so this is rounded to 2 places).