# BALANCING EQUAL FRACTIONS

To create equal fractions, we have to multiply and divide both numerator and denominator by the same number.

For a fraction, we can create infinite number of equal fractions.

Find the number that belongs in the space by building or reducing equivalent fractions.

Problem 1 :

Solution:

The denominator on the right side is 10. In the fraction 1/2, the denominator is 2. To get an equivalent fraction with denominator 10, we have to multiply both numerator and denominator of the fraction 1/2 by 5.

The above two fractions are equivalent with the same denominator. Then, the numerators must be equal.

x = 5

Problem 2 :

Solution:

The denominator on the right side is 15. In the fraction 2/3, the denominator is 3. To get an equivalent fraction with denominator 15, we have to multiply both numerator and denominator of the fraction 2/3 by 5.

The above two fractions are equivalent with the same denominator. Then, the numerators must be equal.

x = 10

Problem 3 :

Solution:

The denominator on the right side is 12. In the fraction 5/6, the denominator is 6. To get an equivalent fraction with denominator 12, we have to multiply both numerator and denominator of the fraction 5/6 by 2.

The above two fractions are equivalent with the same denominator. Then, the numerators must be equal.

x = 10

Problem 4 :

Solution:

Problem 5 :

Solution:

Problem 6 :

Solution:

Problem 7 :

Solution:

The denominator on the left side is 2. In the fraction 3/6, the denominator is 6. To get an equivalent fraction with denominator 2, we have to divide both numerator and denominator of the fraction 3/6 by 3.

The above two fractions are equivalent with the same denominator. Then, the numerators must be equal.

x = 1

Problem 8 :

Solution:

The denominator on the left side is 4. In the fraction 6/8, the denominator is 8. To get an equivalent fraction with denominator 4, we have to divide both numerator and denominator of the fraction 6/8 by 2.

The above two fractions are equivalent with the same denominator. Then, the numerators must be equal.

x = 3

Problem 9 :

Solution:

Problem 10 :

Solution:

Problem 11 :

Solution:

Problem 12 :

Solution:

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