Question

Convert the following ratios into percentages. 

i. 15 : 25 

ii. 47 : 50

iii.7 / 10 

Answer 1

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%