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HomeCBSE Class 9mathematicsnumbersystems › Convert 0.7̄ (7 repeating: 0.7777…) to a fraction:

Convert 0.7̄ (7 repeating: 0.7777…) to a fraction:

A7/9
B7/10
C7/100
D7/11
Answer & Solution
Correct answer: A. 7/9
Let x = 0.777... Then 10x = 7.777... Subtract: 9x = 7, so x = 7/9. (Check: 7/9 = 0.777...). General rule: 0.d̄ (single digit d repeating) = d/9.
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