simplify:

\(-20\div\frac{4}{7}\ \rm of\ 55\frac{1}{8}\times\frac{9}{5}-\left(\frac{6}{7}+1\right)\).

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  1. \(\frac{5}{7}\)
  2. -3
  3. \(-\frac{200}{567}\)
  4. 3

Answer (Detailed Solution Below)

Option 2 : -3
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Detailed Solution

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Concept:

Follow BODMAS rule to solve this question, as per the order given below, 

619c84099b892b6172520023 16389656398191

Given:

\(-20÷\frac{4}{7}\ \rm of\ 55\frac{1}{8}×\frac{9}{5}-\left(\frac{6}{7}+1\right)\)

Calculation:

\(-20÷\frac{4}{7}\ \rm of\ 55\frac{1}{8}×\frac{9}{5}-\left(\frac{6}{7}+1\right)\)

⇒ - 20 ÷ 4/7 of 441/8 × 9/5 - 13/7 

⇒ - 20 ÷ 63/2 × 9/5 - 13/7

⇒ - 20 × 2/63 × 9/5 - 13/7 

⇒ - 8/7 - 13/7 

⇒ - 21/7 

⇒ - 3

∴ The required result is - 3. 

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