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Find the value of 14+14×5+14×5×6\frac{1}{4}+\frac{1}{4×5}+\frac{1}{4×5×6}41​+4×51​+4×5×61​​ (rounded up to 2 decimals)
Question

Find the value of 14+14×5+14×5×6\frac{1}{4}+\frac{1}{4×5}+\frac{1}{4×5×6}​ (rounded up to 2 decimals)

A.

0.31

B.

0.21

C.

0.33

D.

0.38

Correct option is A

Given:

14+14×5+14×5×6\frac{1}{4}+\frac{1}{4×5}+\frac{1}{4×5×6}

Solution:

14+14×5+14×5×6\frac{1}{4}+\frac{1}{4×5}+\frac{1}{4×5×6}

14+120+1120\frac{1}{4}+\frac{1}{20}+\frac{1}{120}

=30+6+1120\frac{30+6+1}{120}

=37120\frac{37}{120}0.31\approx 0.31

Option (A) is right.

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