Find ratio between:
$2 years 6 month and 1 years 6 months$

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Solution

As,
$2 y e a r s 6 m o n t h s = 2 \times 12 + 6 = 24 + 6 = 30 m o n t h s 1 y e a r 6 m o n t h s = 1 \times 12 + 6 = 12 + 6 = 18 m o n t h s [∵ 1 y e a r = 12 m o n t h s]$
Ratio between $2 years 6 month and 1 years 6 months$
$= \frac{2 y e a r s 6 m o n t h s}{1 y e a r 6 m o n t h s} = \frac{30 m o n t h s}{18 m o n t h s} = \frac{6 \times 5}{6 \times 3} = \frac{5}{3}$
Hence required ratio is $5 : 3$

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