1997 PMWC Problems/Problem I1

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Problem

Evaluate $29 \frac{27}{28} \times 27\frac{14}{15}$.

Solution

$\frac{29 \cdot 28 + 14}{28} \cdot \frac{27 \cdot 15 + 24}{15} = \frac{839 \cdot 419}{420} = \frac{839(420 - 1)}{420} = 839 - \frac{839}{420} = 837 \frac{1}{420}$

See also

1997 PMWC (Problems)
Preceded by
First question
Followed by
Problem I2
I: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
T: 1 2 3 4 5 6 7 8 9 10