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$3. \overline{142857}$ is the decimal expansion of which familiar fraction?

Class 9Decimal Expansions of Real NumbersNumber Systems

A $\frac{3142857}{1000000}$
B $\frac{314}{100}$
C $\frac{22}{7}$
D $\frac{355}{113}$

Step-by-Step Solution

3.142857… = 3 + 0.142857… = 3 + 1/7 = 22/7. (355/113 = 3.1415929… is a better approximation of π, but it is not this number.)

Answer: C)

\frac{22}{7}

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