Find the equivalent fraction of 3 5 having denominator 30 .

Given: 3 5 Denominator of 30 is obtained by multiplying the given fraction by 6 . So, multiply the numerator and denominator by 6 . 3 5 = 3 × 6 5 × 6 = 18 30 Hence, the equivalent fraction is 18 30 .

Find the equivalent fraction of 3 5 having denominator 30 .

Given: 3 5 Denominator of 30 is obtained by multiplying the given fraction by 6 . So, multiply the numerator and denominator by 6 . 3 5 = 3 × 6 5 × 6 = 18 30 Hence, the equivalent fraction is 18 30 .

Find the equivalent fraction of 3 5 having numerator 27 .

Given: 3 5 Numerator of 27 is obtained by multiplying the given fraction by 9 . So, multiply the numerator and denominator by 9 . 3 5 = 3 × 9 5 × 9 = 27 45 Hence, the equivalent fraction is 27 45 .

Find the equivalent fraction of 36 48 with numerator 9 .

Given, 36 48 Numerator of 9 is obtained by dividing the given fraction by 4 . Therefore, 36 48 = 36 ÷ 4 48 ÷ 4 = 9 12 Hence, the equivalent fraction is 9 12 .

Find the equivalent fraction of 36 48 with denominator 4 .

Given: 36 48 Denominator of 4 is obtained by dividing the given fraction by 12 . Therefore, 36 48 = 36 ÷ 12 48 ÷ 12 = 3 4 Hence, the equivalent fraction is 3 4 .

Check whether the given fractions are equivalent: 5 9 , 30 54

Given, 5 9 , 30 54 30 54 = 5 × 6 9 × 6 Since, 30 54 is obtained by multiplying numerator and denominator of 5 9 by 6 . Therefore, 5 9 , 30 54 are equivalent.

Check whether the given fractions are equivalent: 3 10 , 12 50

Given, 3 10 , 12 50 If the given fractions are equivalent, the product obtained by cross multiplication must be equal. By cross multiplying the following fractions: 3 10 , 12 50 3 × 50 = 150 12 × 10 = 120 But clearly, 150 ≠ 120 Therefore, 3 10 , 12 50 are not equivalent.

Check whether the given fractions are equivalent: 7 13 , 5 11

Given, 7 13 , 5 11 If the given fractions are equivalent, the product obtained by cross multiplication must be equal. By cross multiplying the following fractions: 7 13 , 5 11 7 × 11 = 77 13 × 5 = 65 But clearly, 77 ≠ 65 Therefore, 7 13 , 5 11 are not equivalent.

Reduce the following fraction to the simplest form: 150 60

Given fraction is 150 60 To find the simplest form of given fraction, we have to find HCF of both the numerator and denominator. Clearly, The HCF of the given numerator and denominator is 30 . Hence, we divide both the numerator and the denominator by 30 to obtain the simplest fraction. ⇒ 150 60 = 150 ÷ 30 60 ÷ 30 = 5 2 Therefore, the simplest form of the given fraction is 5 2 .