By how much is \(\displaystyle\frac{3}{4}\) of 568 less than \(\displaystyle\frac{7}{8}\) of 1008?
Answer & explanation
Correct answer: option 4
The correct answer is Option (4) → 456
‘By how much is X less than Y’ asks for the difference Y − X. Find each fraction of its number first; dividing before multiplying keeps the numbers small, since 568 is divisible by 4 and 1008 by 8.
Three-fourths of 568: \(568\div4=142\), and \(3\times142=426\)
Seven-eighths of 1008: \(1008\div8=126\), and \(7\times126=882\)
The difference: \(882-426=456\)