Decimal Fractions | Arithmetic aptitude | Discussion Page

$\frac{96.54-89.63}{96.54+89.63}+\frac{965.4-896.3}{9.654+8.963}=?$

A) $10^{-2} $

B) $10^{2} $

C) $10^{-1}$

D) $10^{1}$

E) None of these

Option A

Given expression `

$\frac{96.54-89.63}{96.54+89.63}\times\frac{9.654+8.963}{965.4-896.3}=\frac{96.54-89.63}{965.4-896.3}\times\frac{9.654+8.963}{96.54+89.63}$

$=\frac{96.54-89.63}{10(96.54-89.63)}\times\frac{96.54+89.63}{10(96.54+89.63)}$

$=\frac{1}{10}\times\frac{1}{10}=\frac{1}{100}=10^{-2}$

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