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Simplify : \((1350 \div 15 - 5) \div (47.5 - 15 \times 2.5)\)

  • A.85
  • B.10.5
  • C.10
  • D.8.5

Answer: D

The value is 8.5.

Work inside each bracket first, doing division and multiplication before subtraction:

\[ \begin{aligned} 1350 \div 15 - 5 &= 90 - 5 = 85 \\ 47.5 - 15 \times 2.5 &= 47.5 - 37.5 = 10 \\ 85 \div 10 &= 8.5 \end{aligned} \]

85 is the first bracket alone, and 10 is the second bracket alone. 10.5 comes from an arithmetic slip in the second bracket.

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