# Equivalent rational numbers:

If the numerator and denominator of a rational number are multiplied or divided by a non-zero integer, we get a rational number which is said to be equivalent to the given rational number.

For example, consider the rational number -2/3.

(-2)/3 = (-2 xx 2)/(3 xx 2) = (-4)/6.

We see that (-2/3)  "is the same as"  (-4)/6.

(-2)/3 = ((-2) xx (-5))/(3 xx (-5)) = 10/(-15).

So, (-2)/3  "is also the same as"  10/(-15).

Thus,

(-2)/3 = (-4)/6 = 10/(-15)

Such rational numbers that are equal to each other are said to be equivalent to each other.

10/(-15) = (10 ÷ (- 5))/((- 15) ÷ (-5)) = (- 2)/3, (- 12)/24 = (- 12 ÷ 12)/(24 ÷ 12) = (-1)/2.

If you would like to contribute notes or other learning material, please submit them using the button below.

### Shaalaa.com

How to Find Equivalent Rational Numbers of a Rational Number? [00:16:27]
S
0%

Share