Find 16 2 3 % of 30 .

We are asked to find 16 2 3 % of 30 . 16 2 3 being a mixed fraction can be converted to improper fraction as 16 2 3 = 16 × 3 + 2 3 = 48 + 2 3 = 50 3 We know that a percentage can be converted to a fraction by dividing it by 100 . a b % can be converted into fraction as a b × 100 . So, 16 2 3 % of 30 = 50 3 % of 30 = 50 3 × 100 of 30 = 50 3 × 100 × 30 = 50 × 30 3 × 100 = 1 × 30 3 × 2 = 5 Hence, 16 2 3 % of 30 is 5 .

Find the number whose 6 1 4 % is 5 .

We are asked to find the number whose 6 1 4 % is 5 . Let x be the required number. Then, 6 1 4 % of x = 5 6 1 4 being a mixed fraction can be converted to improper fraction as 6 1 4 = 6 × 4 + 1 4 = 24 + 1 4 = 25 4 We also know that a percentage can be converted to a fraction by dividing it with 100 . ⇒ a b % = a b × 100 So, 6 1 4 % of x = 5 ⇒ 25 4 % of x = 5 ⇒ 25 4 × 100 × x = 5 ⇒ 1 4 × 4 × x = 5 ⇒ 1 16 × x = 5 ⇒ x = 5 × 16 ⇒ x = 80 Hence, the required number is 80 .

We are asked to find 0 . 8 % of 45 . We know that a percentage can be converted to a fraction by dividing it with 100 . ⇒ a % = a 100 So, 0 . 8 % of 45 = 0 . 8 100 × 45 = 0 . 8 × 10 100 × 10 × 45 = 8 1000 × 45 = 8 × 45 1000 = 45 125 = 9 25 = 0 . 36 Hence, 0 . 8 % of 45 is 0 . 36 .