Advertisement Remove all ads

Equivalent Rational Number

Advertisement Remove all ads

Topics

notes

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?

Shaalaa.com


Next video


Shaalaa.com


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


Advertisement Remove all ads
Share
Notifications

View all notifications


      Forgot password?
View in app×