Express the following ratio in the simplest form: $5 k g : 800 g$ .

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Solution

Step 1: Convert $k g$ to $g$
$5 k g = 5 \times 1000 g = 5000 g$ ( $1 k g = 1000 g$ )
Step 2: Convert ratio into fraction
$5000 g : 800 g = \frac{5000}{800}$
Step 3: Divide numerator and denominator by 200
Highest Common Factor Of two terms are 200.
$\frac{5000 \div 200}{800 \div 200} = \frac{25}{4} = 25 : 4$
Hence, the simplest form of $5 k g : 800 g$ is $25 : 4$ .

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