Evaluate the expression : [ ( -191 - 112 / 2 ) + 6 * 5 ] / ( 9 * 4 - 6 ) * [ 5 - 4 * 6 + 12 / 4 ]

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Solution

$The given expression is \frac{[(- 191 - \frac{112}{2}) + 6 \times 5]}{(9 \times 4 - 6) (5 - 4 \times 6 + \frac{12}{4})} Using BODMASS rule, we solve each part of the given expression as \frac{[(- 191 - \frac{112}{2}) + 6 \times 5]}{(9 \times 4 - 6) (5 - 4 \times 6 + \frac{12}{4})} = \frac{[(- 191 - 56) + 30]}{(36 - 6) (5 - 4 \times 6 + 3)} = \frac{[(- 247) + 30]}{(30) (5 - 24 + 3)} = \frac{(- 217)}{(30) (- 16)} = \frac{(- 217)}{(- 480)} = \frac{217}{480}$

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