Given expression = 3 36 7 × 11 27 9 × 5 35 24 2 = 55 18 = 3 1 18
Division of Fractions
(i) When the divisor is a whole number. Suppose we have to divide 7⁄9 by 4.
We know 7⁄9 = 28⁄36. This fraction means that the unit is divided into 36 equal parts, and 28 of the parts taken. If we divide the 28 parts by 4, we get 7 of them—i.e. 7⁄36. Hence 7⁄9 ÷ 4 = 7⁄36.
Therefore, to divide a fraction by a whole number, we multiply the denominator by that number.
In the same way as already explained for multiplication, we cancel any common factors contained in the divisor and the numerator. Hence, if the numerator be exactly divisible by the divisor, we may divide a fraction by a whole number by dividing the numerator by that number.
Example 1:
2731 ÷ 18 = 3 27 31 × 18 2 = 3 62 Ans.
Example 2:
3641 ÷ 9 = 441 Ans.