Express the following ratio in the simplest form: $33 k m : 121 k m$ .

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Solution

Step 1: Convert the ratio into fraction
The unit of the quantities are same.
$33 k m : 121 k m = \frac{33}{121}$
Step 3: Divide the numerator and denominator by 11
Because, the Highest Common Factor of 33 and 121 is 11.
$\frac{33 \div 11}{121 \div 11} = \frac{3}{11} = 3 : 11$
Hence ,the simplest form of $33 k m : 121 k m$ is $3 : 11$ .

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