Write these ratios in the simplest form.
$20 m L : 1 l i t r e$

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Solution

Step 1: We can write $20 m L : 1 l i t r e$
Here units are not same.
Step 2: Convert it into same units. $1 l i t r e = 1 \times 1000 m L = 1000 m L$
Step 3: Express it as $20 m L : 1000 m L$ i.e. $\frac{20}{1000}$
Step 4: Find the HCF of numerator $20$ and denominator $1000$ .
By the method of prime factorisation,
$20 = 2^{2} \times 5$
$1000 = 2^{3} \times 5^{3}$
$H C F (20, 1000) = 2^{2} \times 5 = 20$
Step 5: Divide both the numerator and denominator by HCF
$\Rightarrow$ $\frac{20 \div 20}{1000 \div 20}$
$\Rightarrow$ $\frac{1}{50}$
Therefore, $20 m L : 1 l i t r e$ can be expressed in simplest form as $1 : 50$

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