What is 0.7 repeating as a fraction?
0.7777…=
0.7 repeating as a fraction is 7/9 — exactly, not rounded. As a percent it is ≈ 77.78%.
Improper fraction 7/9Percent ≈ 77.78%Before simplifying 7/9
How to convert 0.7777… to a fraction
- Let x = 0.77… The repeating block "7" has 1 digit.
- Multiply by 10^1 and by 10^0 so the repeating tails line up, then subtract.
10x − 1x = 7 − 0 - That gives 9x = 7, so x = 7/9.
- 7/9 is already in lowest terms.
Fractions equal to 7/9
14/18 = 21/27 = 28/36 = 35/45 = 70/90 = 7/9. All are equivalent; 7/9 is the one in lowest terms.
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Questions people ask
What is 0.7 repeating as a fraction?
0.7777… (0.7 repeating) is exactly 7/9. A repeating decimal is never "about" a fraction: the repeating digits make it equal to 7/9 exactly.
How do you turn 0.7 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 7/9, which simplifies to 7/9.
What is 0.7 repeating as a percent?
7/9 × 100 ≈ 77.78% (the digits keep repeating, so this is rounded to 2 places).