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Simplify: ​62÷5−(89×187)×75+54×162562÷5-(\frac{8}9×\frac{18}7)×\frac{7}5+\frac{5}4×\frac{16}{25}62÷5−(98​×718​)×57​+45​×2516​​​
Question

Simplify:
62÷5(89×187)×75+54×162562÷5-(\frac{8}9×\frac{18}7)×\frac{7}5+\frac{5}4×\frac{16}{25}​​

A.

12

B.

15

C.

5

D.

10

Correct option is D

Given:
62÷5(89×187)×75+54×162562÷5-(\frac{8}9×\frac{18}7)×\frac{7}5+\frac{5}4×\frac{16}{25}​​
Solution:
62÷5(89×187)×75+54×1625 =62÷5(167)×75+54×1625 =625165+54×1625 =625165+45 =665165 =505 =1062÷5-(\frac{8}9×\frac{18}7)×\frac{7}5+\frac{5}4×\frac{16}{25}\\ \ \\ = 62 ÷ 5 - (\frac{16}7) ×\frac{ 7}5 + \frac{5}4 × \frac{16}{25} \\ \ \\ = \frac{62}5 ​-\frac{16}5 ​+\frac{ 5}4​×\frac{16}{25} \\ \ \\ = \frac{62}5 ​-\frac{16}5​+ \frac{4}5 \\ \ \\ = \frac{66}5 - \frac{16}5 \\ \ \\= \frac{50}5 \\ \ \\= 10​​

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