Which is greater ?
$11 : 12$ or $3 : 5$

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Solution

Make the denominators of both ratios equal by taking their LCM and then compare
LCM $(12, 5) = 60$
$\frac{11}{12} = \frac{11 \times 5}{12 \times 5} = \frac{55}{60}$
and
$\frac{3}{5} = \frac{3 \times 12}{5 \times 12} = \frac{36}{60}$
$\frac{55}{60} > \frac{36}{60} o r, \frac{11}{12} > \frac{3}{5}$
Hence, $11 : 12$ is greater than $3 : 5 .$

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