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What are the steps in writing ratios in their simplest form?​

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Ratio in the Simplest Form:

If a and b are two quantities.

• The ratio a : b is said to be in the simplest form if the H.C.F. of a and b is 1.

• If the H.C.F. of 'a' and 'b' is not 1, then divide 'a' and 'b' by the H.C.F. of 'a' and 'b', the ratio will be reduced to the lowest form.


Example:

Express the ratio 16 : 20 in the simplest form.

Solution:

We write the given ratio as a fraction. i.e., 16/20

Now, divide numerator and denominator of the fraction by 4

(Highest Common Factor of 16 and 20)

(16 ÷ 4)/(20 ÷ 4)

= 4/5

= 4 : 5

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