Reduce the given fraction into the lowest terms. 63 72

Given, 63 72 Finding prime factors of numerator and denominator, we get: 63 = 3 × 3 × 7 72 = 2 × 2 × 2 × 3 × 3 HCF = 3 2 = 9 Dividing the numerator and denominator by HCF, we get: 63 72 = 63 ÷ 9 72 ÷ 9 = 7 8 Hence, the required answer is 7 8 .

Reduce the given fraction into the lowest terms. 63 72

Given, 63 72 Finding prime factors of numerator and denominator, we get: 63 = 3 × 3 × 7 72 = 2 × 2 × 2 × 3 × 3 HCF = 3 2 = 9 Dividing the numerator and denominator by HCF, we get: 63 72 = 63 ÷ 9 72 ÷ 9 = 7 8 Hence, the required answer is 7 8 .

Reduce the given fraction into the lowest terms. 42 78

Given, 42 78 Finding prime factors of numerator and denominator, we get: 42 = 2 × 3 × 7 78 = 2 × 3 × 13 HCF = 2 × 3 = 6 Dividing the numerator and denominator by HCF, we get: 42 78 = 42 ÷ 6 78 ÷ 6 = 7 13 Hence, the required answer is 7 13 .

Reduce the given fraction into the lowest terms. 95 100

Given, 95 100 Finding prime factors of numerator and denominator, we get: 95 = 5 × 19 100 = 2 × 2 × 5 × 5 HCF = 5 Dividing the numerator and denominator by HCF, we get: 95 100 = 95 ÷ 5 100 ÷ 5 = 19 20 Hence, the required answer is 19 20 .

Convert the following fractions into like fractions. 6 7 and 13 14

Given, fractions are 6 7 and 13 14 . To convert given fractions into like fractions we need to find the denominators LCM. Thus, L.C.M = 2 × 7 = 14 Now, we convert each of the fractions into equivalent fractions with 14 as its denominator. Therefore, we have: 6 7 = 6 × 2 7 × 2 = 12 14 13 14 = 13 × 1 14 × 1 = 13 14 So the like fractions are 12 14 and 13 14 .

Convert the following fractions into like fractions. 2 5 , 3 10 and 7 20

Given, fractions are 2 5 , 3 10 and 7 20 . To convert given fractions into like fractions we need to find the denominators LCM Thus, L.C.M = 2 × 2 × 5 = 20 Now, we convert each of the fractions into equivalent fractions with 20 as its denominator. Therefore, we have: 2 5 = 2 × 4 5 × 4 = 8 20 3 10 = 3 × 2 10 × 2 = 6 20 7 20 = 7 × 1 12 × 1 = 7 20 So the like fractions are 8 20 , 6 20 and 7 20 .

Convert the following fractions into like fractions. 19 25 , 18 20 , 41 50 and 73 100

Given, fractions are 19 25 , 18 20 , 41 50 and 73 100 . To convert given fractions into like fractions we need to find the denominators LCM Thus, L.C.M = 2 × 2 × 5 × 5 = 100 Now, we convert each of the fractions into equivalent fractions with 100 as its denominator. Therefore, we have: 19 25 = 19 × 4 25 × 4 = 76 100 18 20 = 18 × 5 20 × 5 = 90 100 41 50 = 41 × 2 50 × 2 = 82 100 73 100 = 73 × 1 100 × 1 = 73 100 So the like fractions are 76 100 , 90 100 , 82 100 and 73 100 .

Arrange the following fractions in ascending order. 2 3 , 3 4 , 5 12 and 9 16

Given, 2 3 , 3 4 , 5 12 and 9 16 LCM of 3 , 4 , 12 and 16 = 3 × 4 × 4 = 48 . 2 3 = 2 × 16 3 × 16 = 32 48 3 4 = 3 × 12 4 × 12 = 36 48 5 12 = 5 × 4 12 × 4 = 20 48 9 16 = 9 × 3 16 × 3 = 27 48 Clearly, 20 48 < 27 48 < 32 48 < 36 48 ⇒ 5 12 < 9 16 < 2 3 < 3 4 Hence, the required fractions in ascending order is 5 12 < 9 16 < 2 3 < 3 4 .

Arrange the following fractions in ascending order. 5 7 , 3 8 , 9 14 and 20 21

Given, 5 7 , 3 8 , 9 14 and 20 21 LCM of 7 , 8 , 14 and 21 = 2 × 3 × 4 × 7 = 168 . 5 7 = 5 × 24 7 × 24 = 120 168 3 8 = 3 × 21 8 × 21 = 63 168 9 14 = 9 × 12 14 × 12 = 108 168 20 21 = 20 × 8 21 × 8 = 160 168 Clearly, 63 168 < 108 168 < 120 168 < 160 168 ⇒ 3 8 < 9 14 < 5 7 < 20 21 Hence, the required fractions in ascending order is 3 8 < 9 14 < 5 7 < 20 21 .

Arrange the following fractions in ascending order. 5 6 , 7 8 , 11 12 and 3 10

Given, 5 6 , 7 8 , 11 12 and 3 10 LCM of 6 , 8 , 12 and 10 = 2 × 2 × 2 × 3 × 5 = 120 . 5 6 = 5 × 20 6 × 20 = 100 120 7 8 = 7 × 15 8 × 15 = 105 120 11 12 = 11 × 10 12 × 10 = 110 120 3 10 = 3 × 12 10 × 12 = 36 120 Clearly, 36 120 < 100 120 < 105 120 < 110 120 ⇒ 3 10 < 5 6 < 7 8 < 11 12 Hence, the required fractions in ascending order is 3 10 < 5 6 < 7 8 < 11 12 .