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Q.

After how many digits will the decimal expansion of $\frac{7}{40}$ come to an end?

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a

2

b

1

c

3

d

4

answer is D.

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Detailed Solution

\frac{7}{40} = \frac{7}{2^{3} 5^{1}} = \frac{7 \times 5^{2}}{2^{3} {.5}^{3}} = \frac{175}{1000} = 0.175

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After how many digits will the decimal expansion of 740 come to an end?