CLASS-6
DIVISION OF FRACTION
DIVISION OF FRACTION -
If X / Y and U / V are two fractions, then the Division of two fractions can be defined as –
X U
-------- ÷ --------
Y V
X U
= -------- x Reciprocal of ---------
Y V
X V
= --------- x ---------
Y U
X x V
= ----------------
Y x U
Division of fractions involves multiplying the first fraction by the reciprocal of the second fraction. In other words, to divide one fraction by another, you multiply the first fraction by the reciprocal of the second fraction.
Here's the general formula for dividing fractions:
a c a d
------- ÷ ------- = ------ × ------
b d b c
To divide fractions "a/b" by "c/d," you multiply "a/b" by "d/c," which is the reciprocal of "c/d."
2 4 2 5 10
For example: ------ ÷ ------ = ------ × ------ = ------
3 5 3 4 12
You might need to simplify the result further by reducing the fraction to its simplest form, which in this case is 5/6.
Remember that dividing fractions is essentially a multiplication process involving the reciprocal of the second fraction.
Example.1) 48 18
-------- ÷ ------- = ?
120 72
48 18
= -------- ÷ --------
120 72
48 72
= -------- x --------
120 18
8 3
= -------- = 1 -------- (Ans.)
5 5
Example.2) 25 45
--------- ÷ --------- = ?
135 108
25 45
= --------- ÷ ---------
135 108
25 108
= --------- X ---------
135 45
4
= -------- (Ans.)
9