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Which of these has a terminating decimal expansion?

Class 9Decimal Expansions of Real NumbersNumber Systems

A $\frac{2}{3}$
B $\frac{1}{9}$
C $\frac{3}{40}$
D $\frac{5}{6}$

Step-by-Step Solution

3 ÷ 40 = 0.075, which ends.

\frac{2}{3}, \frac{5}{6}

and

\frac{1}{9}

give 0.666…, 0.8333… and 0.111…, which never end.

Answer: C)

\frac{3}{40}

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