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
