Question

Express each of the following ratios as percents. 

(a) 3 : 5

(b) 5 : 8

(c) 2.5 : 55

(d) 4 : 36

Answer 1

a) 3 : 5 

Given ratio is 3 : 5. 3 : 5 = \(\frac{3}{5}\) (fraction form) 

To convert the fraction into percent we have to multiply the fraction by 100% 

\(\frac{3}{5}\) = \(\frac{3}{5}\) × 100 = 60% (percent form)

b) 5 : 8 

Given ratio is 5 : 8 

5 : 8 = \(\frac{5}{8}\) (fraction form)

To convert the fraction into percent we have to multiply the fraction by 100%

\(\frac{5}{8}\) = \(\frac{5}{8}\) × 100 = 62\(\frac{1}{2}\) % (percent form)

c) 2.5 : 55 

Given ratio is 2.5 : 55

2.5 : 55 = \(\frac{2.5}{55}\)

To convert the fraction into percent we have to multiply the fraction by 100%

d) 4 : 36 

Given ratio is 4 : 36 

4 : 36 = \(\frac{4}{36}\) (fraction form) 

To convert the fraction into percent we have to multiply the fraction by 100%

\(\frac{4}{36}\) = \(\frac{4}{36}\) × 100 = \(\frac{100}{9}\) = 11\(\frac{1}{9}\) % (percent form)