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What is $1. \overline{27}$ as a fraction in lowest terms?

Class 9Decimal Expansions of Real NumbersNumber Systems

A $\frac{14}{11}$
B $\frac{127}{99}$
C $\frac{127}{100}$
D $\frac{28}{11}$

Step-by-Step Solution

1.2727… = 1 + 27/99 = 1 + 3/11 = 14/11. (127/99 wrongly puts the whole number in the repeating part.)

Answer: A)

\frac{14}{11}

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