Each side of a square field is 4 2 3 m. Find its area.

Given: Side of the square field = 4 2 3 m Conversion of mixed fraction to improper fraction is given by Denominator × Quotient + Remainder Denominator Therefore, 4 2 3 m = 14 3 m We know that, area of the square = ( s i d e ) 2 = 14 3 m 2 = 14 3 m × 14 3 m = 14 × 14 3 × 3 m 2 = 196 9 m 2 Also, conversion of improper fraction into mixed fraction is given by Quotient Remainder Denominator If we divide 196 ÷ 9 , we get Quotient = 21 Remainder = 7 ⇒ 196 9 m 2 = 21 7 9 m 2 Therefore, the area of the square field is 21 7 9 m 2 .

Write down the reciprocal of 5 8

We know that, If a b is a fraction, then its reciprocal is b a So, Reciprocal of 5 8 = 8 5 [ ∵ 5 8 × 8 5 = 1 ] Hence, the required answer is 8 5 .

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