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What is $\frac{5}{7}$ as a decimal? (Hint: it uses the same digits as $\frac{1}{7} .$ )

Class 9Decimal Expansions of Real NumbersNumber Systems

A $0. \overline{5}$
B $0. \overline{714285}$
C $0. \overline{571428}$
D $0. \overline{742857}$

Step-by-Step Solution

5/7 =

5 \times 0.142857

… = 0.714285714285…. The cycle 142857 is the same, just starting at 7.

Answer: B)

0. \overline{714285}

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