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Home >> Equality >> Divide by same number >>

Divide both sides of equality with same number

Add same number Add different number Subtract same number Subtract different number Multiply with same number
Multiply with different numbers Divide by same number Divide by different number

Explanation: When both the sides of equation i.e. L.H.S. and R.H.S of the equation are divided by same number, the equality still holds true.

Let’s understand it with the help of following examples:

Example 1 - Divide both the sides of given equation with 2 and check what happens to equality

4 X 3 = 2 X 6

Solution - This proceeds as :

Divide both sides of given equation by 2 and we get;

(4 X 3) / 2 = (2 X 6) / 2

Solve L.H.S. and we get;

L.H.S. = (4 X 3) / 2
L.H.S. = 6

Solve R.H.S. and we get

R.H.S. = (2 X 6) / 2
R.H.S. = 6

Since L.H.S. = R.H.S i.e. 6 = 6

So the given equation 4 X 3 = 2 X 6, is said to be in equality even after both sides are divided by 2 and hence we get
“When both the sides of equation i.e. L.H.S. and R.H.S of the equation are divided by same number, the equality still holds true.”


Example 2 - Divide both the sides of given equation with 5 and check what happens to equality

5 X 2 = 100 X 10

Solution - This proceeds as :

Divide both sides of given equation by 5 and we get;

(5 X 2) / 5= (100 / 10) / 5

Solve L.H.S. and we get;

L.H.S. = (5 X 2) / 5
L.H.S. = 2

Solve R.H.S. and we get

R.H.S. = (100 / 10) / 5
R.H.S. = 2

Since L.H.S. = R.H.S i.e. 2 = 2

So the given equation 5 X 2 = 100 / 10, is said to be in equality even after both sides are divided by 5 and hence we get
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