Add the mixed fraction 5 2 5 + 3 1 10

Given, 5 2 5 + 3 1 10 Convert mixed fraction into improper fraction. = 5 × 5 + 2 5 + 3 × 10 + 1 10 = 27 5 + 31 10 Fractions with different denominators are called the unlike fractions. Find out the Least Common Multiple (LCM) of the given denominators. LCM of 5 and 10 is 10 Write down each fraction in a form such that the LCM becomes the common denominator. 27 × 2 5 × 2 = 54 10 31 × 1 10 × 1 = 31 10 Add the numerators of these like fractions. 54 10 + 31 10 = 54 + 31 10 = 85 10 = 17 2 = 8 1 2 Thus, the sum of given mixed fractions is 8 1 2

Add the mixed fraction 4 5 9 + 2 1 18

Given, 4 5 9 + 2 1 18 Convert mixed fraction into improper fraction. = 4 × 9 + 5 9 + 2 × 18 + 1 18 = 41 9 + 37 18 Fractions with different denominators are called the unlike fractions. Find out the Least Common Multiple (LCM) of the given denominators. LCM of 9 and 18 is 18 Write down each fraction in a form such that the LCM becomes the common denominator. 41 × 2 9 × 2 = 82 18 37 × 1 18 × 1 = 37 18 Add the numerators of these like fractions. 82 18 + 37 18 = 82 + 37 18 = 119 18 = 6 11 18 Thus, the sum of given mixed fractions is 6 11 18

Add the mixed fraction 6 3 10 + 4 1 5

Given, 6 3 10 + 4 1 5 Convert mixed fraction into improper fraction. = 6 × 10 + 3 10 + 4 × 5 + 1 5 = 63 10 + 21 5 Fractions with different denominators are called the unlike fractions. Find out the Least Common Multiple (LCM) of the given denominators. LCM of 10 and 5 is 10 Write down each fraction in a form such that the LCM becomes the common denominator. 63 × 1 10 × 1 = 63 10 21 × 2 5 × 2 = 42 10 Add the numerators of these like fractions. 63 10 + 42 10 = 63 + 42 10 = 105 10 = 21 2 = 10 1 2 Thus, the sum of given mixed fractions is 10 1 2