Solve 5 4/7 ÷ 1 4/9

1 answer

To solve this division problem, we need to convert both mixed numbers into improper fractions and then divide.

First, convert 5 4/7 into an improper fraction:

(7*5 + 4) / 7 = 39 / 7

Second, convert 1 4/9 into an improper fraction:

(9*1 + 4) / 9 = 13 / 9

Now, divide the fractions:

(39/7) ÷ (13/9)

To divide fractions, we multiply by the reciprocal of the second fraction:

(39/7) * (9/13) = (39*9) / (7*13) = 351 / 91

Therefore, 5 4/7 ÷ 1 4/9 = 351 / 91 or approximately 3.86.