State the following ratios are in proportion or not: $10 c m : 1 m a n d 2 g r a m s : 20 g r a m s$

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Solution

Step 1: Convert $m t o c m$
Because $c m$ is smaller unit than $m$ .
$1 m = 1 \times 100 = 100 c m (1 m = 100 c m)$
Step 2: Find the smallest form of the ratios
$10 c m : 100 c m = \frac{10}{100} = \frac{10 \div 10}{100 \div 10} = \frac{1}{10} = 1 : 10$
$2 g r a m s : 20 g r a m s = \frac{2}{20} = \frac{2 \div 2}{20 \div 2} = \frac{1}{10} = 1 : 10$
Ratios $10 c m : 1 m a n d 2 g r a m s : 20 g r a m s$ are equal.
Hence, $10 c m : 1 m a n d 2 g r a m s : 20 g r a m s$ are in proportion.

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