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Simplify the given expression. 0.068×3.5×123.6×0.17×7\frac{0.068 \times 3.5 \times 12}{3.6 \times 0.17 \times 7}3.6×0.17×70.068×3.5×12​​
Question

Simplify the given expression.
0.068×3.5×123.6×0.17×7\frac{0.068 \times 3.5 \times 12}{3.6 \times 0.17 \times 7}

A.

14\frac14

B.

38\frac38

C.

47\frac47

D.

23\frac23

Correct option is D

Given:

0.068×3.5×123.6×0.17×7\frac{0.068 \times 3.5 \times 12}{3.6 \times 0.17 \times 7}

Solution:

=0.068×3.5×123.6×0.17×7 =0068×35×1236×0170×7 =4×53×10 =43×2 =23=\frac{0.068 \times 3.5 \times 12}{3.6 \times 0.17 \times 7}\\ \ \\=\frac{0068 \times 35 \times 12}{36 \times 0170 \times 7}\\ \ \\=\frac{4 \times 5 }{3 \times 10}\\ \ \\=\frac{4 }{3 \times 2}\\ \ \\=\frac23

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