# Division Property of Equality

## Definition of Division Property of Equality

Division Property of Equality states that dividing both sides of an equation by a non-zero number doesn't affect the equation

If a, b and c are any three real numbers such that a = b and c ≠ 0 then the division property of equality is a / c = b / c

### Examples of Division Property of Equality

5p = 15

By dividing both sides of the equation by 5, we get p = 3.

Substituting p = 3 in the original equation will help us check the division property of equality.

5 x 3 = 15, it's true!

### Video Examples: What's the Division Property of Equality?

### Solved Example on Division Property of Equality

#### Solve - 3x = 12 using division property of equality.

##### Choices:

- A. - 4
- B. 3
- C. 12
- D. 36

Correct Answer: A

### Solution:

- Step 1: - 3x = 12
- Step 2: [Apply division property of equality.]

#### The area of a rectangular plot is 180 sq ft. If its length is 15 ft then what is its width?

##### Choices:

- A. - 4
- B. 3
- C. 12
- D. 36

Correct Answer: A

#### Solution:

- Step 1: Given area of the rectangular plot = 180 sq. ft
- Step 2: We know that, area of rectangle = l x w
- Step 3: So, l x w =180
- Step 4: 15 x w =180 [Substituting l = 15]
- Step 5: 15w / 15 = 180 / 15 [Dividing both sides by 15]