Let us learn how to find Rational Numbers in Different Forms using the properties in expressing a rational number. Get to see solved examples along with clear-cut explanations and learn how to express rational number in different forms.

1. Express Rational Number -4/10 as a rational number with the denominator 20?

**Solution:**

In Order to express -4/10 as a rational number with denominator 20, we first need to figure out the number that when multiplied by 10 results in 20.

Clearly, the number is 20 ÷ 10 = 2

Multiplying the numerator and denominator -4/10 with 2 we get

-4/10 = -4*2/10*2 = -8/20

Expressing Rational Number -4/10 with the denominator 20 we get -8/20.

2. Express – 2/10 as a rational number with denominator -30?

**Solution:**

In order to express the rational number -2/10 with denominator -30, we need to find out the number that when multiplied by 10 results in -30.

It is clear the number is 10 ÷ -30 = -3

Multiplying both the numerator and denominator -2/10 with -3 we get

-2/10 = (-2*-3)/(10*-3) = 6/-30

3. Express 52/-39 as a Rational Number having the denominator 3?

**Solution:**

To express 52/-39 as a rational number having the denominator 3 we need to find the number which gives 3 when -39 is divided by it.

Clearly, the number is -39 ÷ 3 = -13

52/-39 = (52÷ -13)/(-39 ÷ -13) = -4/3

Thus, 52/-39 as a Rational Number having the denominator 3 is -4/3.

4. Fill up the blanks with the appropriate number in the denominator 6/12 = 36/….=-66/…..?

We have 36 ÷ 6 = 6

Therefore, 6/ 12 = 6*6/12*6 = 36/72

Similarly, we have -66 ÷ 6 = -11

Therefore, 6/ 12 = 6*-11/12*-11

=-66/-132

Thus, 6/12 = 36/72 =-66/-132