Equivalent Form of Rational Numbers

# Equivalent Form of Rational Numbers

Refer to the complete article and get an idea of how to find the Equivalent Form of Rational numbers i.e. expressing the given rational number in different forms. Furthermore, you can witness the equivalent form of rational numbers having the common denominator.

1. Express Rational Number -48/60 with the denominator 5?

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Solution:

In order to express the Rational Number -48/60 with denominator 5 firstly figure out the number which gives 5 when 60 is divided by it.

It is clearly evident that such a number = (60÷5) = 12

Dividing the numerator and denominator of -48/60 by 12 we get

-48/60 = (-48÷12)/(60÷12)=-4/5

Therefore, expressing the Rational Number -48/60 with the denominator 5 is -4/5.

2. Fill in the blanks with the suitable number in the numerator 4/-7 = ...../-35 = ...../-77

Solution:

4/-7 = 4*7/-5*7 = 28/-35

4/-7 = 4*11/-7*11 = 44/-77

3. Find an equivalent form of the rational numbers 3/9 and 4/6 having a common denominator?

Solution:

It is evident that the denominator is the LCM of 9, 6

LCM of 9, 6 is 18

Now, 18 ÷ 9 = 2, 18 ÷ 6 = 3

Therefore 3/9 = 3*2/9*2 = 6/18

4/6 = 4*3/6*3 = 12/18

Given rational numbers 3/9, 4/6 with common denominators are 6/18, 12/18.

4. Find an equivalent form of rational numbers 4/3, 7/5, 10/12 having a common denominator?

Solution:

We need to convert given rational numbers into equivalent rational numbers having the common denominator.

LCM of 3, 5, 12 is 60

60 ÷ 3 = 20, 60 ÷ 5 = 12, 60 ÷ 12 = 5

Therefore 4/3 = 4*20/3*20 = 80/60

7/5 = 7*12/5*12 = 84/60

10/12 = 10*5/12*5 = 50/60

Hence the given rational numbers with common denominator are 80/60, 84/60, 50/60.

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