Write the following fractions in ascending order: 3 11 , 3 5 , 3 9 , 3 13 , 3 21 , 3 30

Ascending means arranging numbers from smaller number to bigger number. When comparing unlike fractions with common numerator, the fraction with the smallest denominator is the largest. So comparing denominators: 30 > 21 > 13 > 11 > 9 > 5 . Therefore, the order will be: 3 30 < 3 21 < 3 13 < 3 11 < 3 9 < 3 5 . Hence, the given fraction can be written as, 3 30 , 3 21 , 3 13 , 3 11 , 3 9 , 3 5 .

Write the following fractions in ascending order: 7 8 , 3 8 , 11 8 , 5 8 , 14 8 .

Given 7 8 , 3 8 , 11 8 , 5 8 , 14 8 Ascending means arranging numbers from smaller number to bigger number. When comparing like fractions with common denominator, the fraction with the largest numerator is the largest. So comparing numerators: 3 < 5 < 7 < 11 < 14 Clearly, the order will be: 3 8 < 5 8 < 7 8 < 11 8 < 14 8 Hence, the given fractions in ascending order can be written as, 3 8 , 5 8 , 7 8 , 11 8 , 14 8 .

Write the following fractions in ascending order: 2 3 , 1 2 , 4 5 , 1 12 , 3 10 .

Given: 2 3 , 1 2 , 4 5 , 1 12 , 3 10 Ascending means arranging numbers from smaller number to bigger number. Since the denominator of all the fractions are different, we have to take the LCM of all the denominators first. LCM of the denominators is : 60 Therefore, 2 3 = 2 × 20 3 × 20 = 40 60 1 2 = 1 × 30 2 × 30 = 30 60 4 5 = 4 × 12 5 × 12 = 48 60 1 12 = 1 × 5 12 × 5 = 5 60 3 10 = 3 × 6 10 × 6 = 18 60 Now, the order will be 5 60 < 18 60 < 30 60 < 40 60 < 48 60 Which is equal to 1 12 < 3 10 < 1 2 < 2 3 < 4 5 . Hence, the given fractions can be written as, 1 12 , 3 10 , 1 2 , 2 3 , 4 5 .