Solve: 3 5 + 1 2 + 7 10

Given, 3 5 + 1 2 + 7 10 Taking the LCM of the denominators, we get: LCM 5 , 2 , 10 = 10 Making equivalent fractions with denominator 10 , we have: 3 5 → 3 × 2 5 × 2 = 6 10 1 2 → 1 × 5 2 × 5 = 5 10 7 10 → 7 × 1 10 × 1 = 7 10 Therefore, adding like fractions, we get: 6 10 + 5 10 + 7 10 = 6 + 5 + 7 10 = 18 10 = 9 5 Hence, the required answer is 9 5 .

Solve: 3 5 + 1 2 + 7 10

Given, 3 5 + 1 2 + 7 10 Taking the LCM of the denominators, we get: LCM 5 , 2 , 10 = 10 Making equivalent fractions with denominator 10 , we have: 3 5 → 3 × 2 5 × 2 = 6 10 1 2 → 1 × 5 2 × 5 = 5 10 7 10 → 7 × 1 10 × 1 = 7 10 Therefore, adding like fractions, we get: 6 10 + 5 10 + 7 10 = 6 + 5 + 7 10 = 18 10 = 9 5 Hence, the required answer is 9 5 .

Solve: 8 1 9 + 2 5 + 3 2 5

Given, 8 1 9 + 2 5 + 3 2 5 Converting the mixed fractions to improper fractions, we have: 8 1 9 = 73 9 and 3 2 5 = 17 5 Taking the LCM of the denominators, we get: LCM 9 , 5 = 45 Making equivalent fractions with denominator 45 , we have: 73 9 → 73 × 5 9 × 5 = 365 45 2 5 → 2 × 9 5 × 9 = 18 45 17 5 → 17 × 9 5 × 9 = 153 45 Therefore, adding like fractions, we get: 365 45 + 18 45 + 153 45 = 365 + 18 + 153 45 = 536 45 Hence, the required answer is 11 41 45 .

Solve: 1 3 10 + 2 1 6 + 4 15

Given, 1 3 10 + 2 1 6 + 4 15 Converting the mixed fractions to improper fractions, we have: 1 3 10 = 13 10 and 2 1 6 = 13 6 Taking the LCM of the denominators, we get: LCM 10 , 6 , 15 = 30 Making equivalent fractions with denominator 30 , we have: 13 10 → 13 × 3 10 × 3 = 39 30 13 6 → 13 × 5 6 × 5 = 65 30 4 15 → 4 × 2 15 × 2 = 8 30 Therefore, adding like fractions, we get: 39 30 + 65 30 + 8 30 = 39 + 65 + 8 30 = 112 30 Hence, the required answer is 3 22 30 .

Solve: 2 1 3 + 2 5 6 + 2 9

Given, 2 1 3 + 2 5 6 + 2 9 Converting the mixed fractions to improper fractions, we have: 2 1 3 = 7 3 and 2 5 6 = 17 6 Taking the LCM of the denominators, we get: LCM 3 , 6 , 9 = 18 Making equivalent fractions with denominator 18 , we have: 7 3 → 7 × 6 3 × 6 = 42 18 17 6 → 17 × 3 6 × 3 = 51 18 2 9 → 2 × 2 9 × 2 = 4 18 Therefore, adding like fractions, we get: 42 18 + 51 18 + 4 18 = 42 + 51 + 4 18 = 97 18 Hence, the required answer is 5 7 18 .

Given, 5 7 - 1 4 Taking the LCM of the denominators, we get: LCM 7 , 4 = 28 Making equivalent fractions with denominator 28 , we have: 5 7 → 5 × 4 7 × 4 = 20 28 1 4 → 1 × 7 4 × 7 = 7 28 Therefore, subtracting like fractions, we get: 20 28 - 7 28 = 20 - 7 28 = 13 28 Hence, the required answer is 13 28 .

Subtract: 3 1 12 - 2 1 15

Given, 3 1 12 - 2 1 15 Converting the mixed fractions to improper fractions, we have: 3 1 12 = 37 12 and 2 1 15 = 31 15 Taking the LCM of the denominators, we get: LCM 12 , 15 = 60 Making equivalent fractions with denominator 60 , we have: 37 12 → 37 × 5 12 × 5 = 185 60 31 15 → 31 × 4 15 × 4 = 124 60 Therefore, subtracting like fractions, we get: 185 60 - 124 60 = 185 - 124 60 = 61 60 Hence, the required answer is 1 1 60 .

Given, 3 4 - 7 10 Taking the LCM of the denominators, we get: LCM 4 , 10 = 20 Making equivalent fractions with denominator 20 , we have: 3 4 → 3 × 5 4 × 5 = 15 20 7 10 → 7 × 2 10 × 2 = 14 20 Therefore, subtracting like fractions, we get: 15 20 - 14 20 = 15 - 14 20 = 1 20 Hence, the required answer is 1 20 .

Subtract: 3 1 2 - 3 1 3

Given, 3 1 2 - 3 1 3 Converting the mixed fractions to improper fractions, we have: 3 1 2 = 7 2 and 3 1 3 = 10 3 Taking the LCM of the denominators, we get: LCM 2 , 3 = 6 Making equivalent fractions with denominator 6 , we have: 7 2 → 7 × 3 2 × 3 = 21 6 10 3 → 10 × 2 3 × 2 = 20 6 Therefore, subtracting like fractions, we get: 21 6 - 20 6 = 21 - 20 6 = 1 6 Hence, the required answer is 1 6 .

Subtract: 4 5 6 - 2 1 3

Given, 4 5 6 - 2 1 3 Converting the mixed fractions to improper fractions, we have: 4 5 6 = 29 6 and 2 1 3 = 7 3 Taking the LCM of the denominators, we get: LCM 6 , 3 = 6 Making equivalent fractions with denominator 6 , we have: 29 6 → 29 × 1 6 × 1 = 29 6 7 3 → 7 × 2 3 × 2 = 14 6 Therefore, subtracting like fractions, we get: 29 6 - 14 6 = 29 - 14 6 = 15 6 Hence, the required answer is 2 3 6 .