Write down the reciprocal of 12 3 5 .

Given fraction: 12 3 5 Conversion of mixed fraction to improper fraction is given by Denominator × Quotient + Remainder Denominator Therefore, 12 3 5 = 63 5 We know that, If a b is a fraction, then its reciprocal is b a Therefore, reciprocal of 63 5 = 5 63 [∵ 63 5 × 5 63 = 1 ] Hence, the required answer is 5 63

Simplify: 4 7 ÷ 9 14

Given: 4 7 ÷ 9 14 According to the divison rule, To divide a fraction by another fraction, the first fraction is multiplied by the reciprocal of the second. a b ÷ c d = a b × d c So, 4 7 ÷ 9 14 = 4 7 × 14 9 [∵ Reciprocal of 9 14 = 14 9 ] = 8 9

Simplify: 7 10 ÷ 3 5

Given: 7 10 ÷ 3 5 According to the divison rule, To divide a fraction by another fraction, the first fraction is multiplied by the reciprocal of the second. ⇒ a b ÷ c d = a b × d c So, 7 10 ÷ 3 5 = 7 10 × 5 3 [∵ Reciprocal of 3 5 = 5 3 ] = 7 6 Conversion of improper fraction into mixed fraction is given by Quotient Remainder Denominator . If we divide 7 ÷ 6 , we get Quotient = 1 Remainder = 1 Therefore, 7 6 = 1 1 6

Given: 8 9 ÷ 16 According to the divison rule, To divide a fraction by another fraction, the first fraction is multiplied by the reciprocal of the second. a b ÷ c d = a b × d c So, 8 9 ÷ 16 = 8 9 × 1 16 [∵ Reciprocal of 16 = 1 16 ] = 1 18 Therefore, 8 9 ÷ 16 = 1 18

Simplify: 3 3 5 ÷ 4 5

Given: 3 3 5 ÷ 4 5 Conversion of mixed fraction to improper fraction is given by Denominator × Quotient + Remainder Denominator Therefore, 3 3 5 = 18 5 According to the divison rule, To divide a fraction by another fraction, the first fraction is multiplied by the reciprocal of the second. a b ÷ c d = a b × d c So, 3 3 5 ÷ 4 5 = 18 5 ÷ 4 5 = 18 5 × 5 4 [∵ Reciprocal of 4 5 = 5 4 ] = 18 4 = 9 2 Conversion of improper fraction into mixed fraction is given by Quotient Remainder Denominator . If we divide 9 ÷ 2 , we get Quotient = 4 Remainder = 1 Therefore, 9 2 = 4 1 2