Discussion
What is the value of \(\frac{24\times13-16+84\div(6\times2)}{28\div4+48\times(16\div96)}\) ?
Answer: D
Work out the top and bottom of the fraction separately, using the order of operations. The top is 24 x 13 - 16 + 84 / (6 x 2) = 312 - 16 + 7 = 303. The bottom is 28 / 4 + 48 x (16 / 96) = 7 + 8 = 15.
\[ \frac{303}{15} = \frac{101}{5} \]
So the value is 101/5, option (D). The value 302/15 comes from an error of one in the top, and 5 and 91/3 do not follow from the two parts, since 5 would need a top of 75 and 91/3 would need a different bottom.
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