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.

☛ Check: NCERT Solutions for Class 7 Maths Chapter 9

---

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.

---

☛ Related Questions:

• Draw The Number Line And Represent The Following Rational Numbers On It I 3 4 Ii 5 8 Iii 7 4 Iv 7 8
• The Points P Q R S T U A And B On The Number Line Are Such That Tr Rs Su And Ap Pq Qb Name The Rational Numbers Represented By P Q R And S
• Which Of The Following Pairs Represent The Same Rational Number I 7 21 And 3 9
• Rewrite The Following Rational Numbers In The Simplest Form I 8 6 Ii 25 45 Iii 44 72 Iv 8 10