Discussion

4/7 of 2/3 of 5/6 of 5/8 of 1008 is

Answer: A

Work from the right, cancelling as you go.

\[ 1008 \times \frac{5}{8} = 630 \]

\[ 630 \times \frac{5}{6} = 525 \]

\[ 525 \times \frac{2}{3} = 350 \]

\[ 350 \times \frac{4}{7} = 200 \]

Multiplying all four fractions first gives \( \tfrac{200}{1008} \), and \( 1008 \times \tfrac{200}{1008} = 200 \) - the same answer.

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