Convert the following ratios into percentages. i. 15 : 25 ii. 47 : 5

1.	Convert the following ratios into percentages. i. 15 : 25 ii. 47 : 50iii.7 / 10
Answer» i. Let 15 : 25 = x % ∴ \(\frac{15}{25}\) = \(\frac{x}{100}\) ∴ x = \(\frac{15}{25}\) x 100 = 15 x 4 = 60% ∴ 15 : 25 = 60 % ii. Let 47 : 50 = x% ∴ \(\frac{47}{50}\) = \(\frac{x}{100}\) ∴ x = \(\frac{47}{50}\) x 100 = 47 x 2 = 94% 47 : 50 = 94% iii. Let \(\frac{7}{10}\) = x % ∴ \(\frac{7}{10}\) = \(\frac{x}{100}\) ∴ x = \(\frac{7}{10}\) x 100 = 7 x 100 =70% ∴ \(\frac{7}{10}\) = 70%

Convert the following ratios into percentages. i. 15 : 25 ii. 47 : 50iii.7 / 10

Answer»

i. Let 15 : 25 = x %

∴ \(\frac{15}{25}\) = \(\frac{x}{100}\)

∴ x = \(\frac{15}{25}\) x 100 = 15 x 4 = 60%

∴ 15 : 25 = 60 %

ii. Let 47 : 50 = x%

∴ \(\frac{47}{50}\) = \(\frac{x}{100}\)

∴ x = \(\frac{47}{50}\) x 100 = 47 x 2 = 94%

47 : 50 = 94%

iii. Let \(\frac{7}{10}\) = x %

∴ \(\frac{7}{10}\) = \(\frac{x}{100}\)

∴ x = \(\frac{7}{10}\) x 100 = 7 x 100 =70%

∴ \(\frac{7}{10}\) = 70%