Express the following ratios in their simplest form :
(i) $60 : 90$
(ii) $2 : \frac{3}{4}$

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Solution

(i) HCF of $60$ and $90$ is $2 \times 3 \times 5$ is $30$
$∴ 60 : 90 = \frac{60}{90} = \frac{60 / 30}{90 / 30} = \frac{2}{3} = 2 : 3$

(ii) $2 : \frac{3}{4} = 2 \times 4 : \frac{3}{4} \times 4 = 8 : 3$

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Express the following ratios in their simplest form : (i) 60:90 (ii) 2:34

(i) HCF of 60 and 90 is 2×3×5 is 30 ∴ 60:90=6090=60/3090/30=23=2:3 (ii) 2:34=2×4:34×4=8:3

Express the following ratios in their simplest form :
(i) $60 : 90$
(ii) $2 : \frac{3}{4}$

(i) HCF of $60$ and $90$ is $2 \times 3 \times 5$ is $30$
$∴ 60 : 90 = \frac{60}{90} = \frac{60 / 30}{90 / 30} = \frac{2}{3} = 2 : 3$

(ii) $2 : \frac{3}{4} = 2 \times 4 : \frac{3}{4} \times 4 = 8 : 3$