# Give four rational numbers equivalent to:

(i) -2/7 (ii) 5/-3 (iii) 4/9

**Solution:**

To find out the equivalent fraction of any rational number, multiply the numerator and the denominator of the given number by the same numbers.

(i) -2/7

Multilying both numerator and denominator with the same number,

We get (-2 × 2)/(7 × 2) = -4/14 ,

(-2 × 3)/(7 × 3) = -6/21,

(-2 × 4)/(7 × 4) = -8/28,

(-2 × 5)/(7 × 5) = -10/35

Therefore, the equivalent fractions to the number -2/7 are, -4/14, -6/21, -8/28, -10/35

(ii) 5/(-3)

Multiplying both numerator and denominator with the same number, we get

(5 × 2)/(-3 × 2) = 10/(-6),

(5 × 3)/(-3 × 3) = 15/(-9),

(5 × 4)/(-3 × 4) = 20/(-12) ,

(5 × 5)/(-3 × 5) = 25/(-15)

Therefore, the equivalent fractions to the number 5/(-3) are 10/(-6) , 15/(-9) , 20/(-12) , 25/(-15)

(iii) 4/9

Multiplying both numerator and denominator with the same number, we get

(4 × 2)/(9 × 2) = 8/18,

(4 × 3)/(9 × 3) = 12/27,

(4 × 4)/(9 × 4) = 16/36,

(4 × 5)/(9 × 5) = 20/45

Therefore, the equivalent fractions to the number 4/9 are 8/18, 12/27, 16/36 and 20/45.

**Video Solution:**

## Give four rational numbers equivalent to: (i) -2/7 (ii) 5/-3 (iii) 4/9

### Class 7 Maths NCERT Solutions -Chapter 9 Exercise 9.1 Question 3

**Summary:**

(i) The equivalent fractions to the number -2/7 are, -4/14, -6/21, -8/28, -10/35 (ii) The equivalent fractions to the number 5/(-3) are, 10/(-6) , 15/(-9) , 20/(-12) , 25/(-15) (iii) The equivalent fractions to the number 4/9 are, 8/18, 12/27, 16/36, 20/45.