NCERT Exercise 9.2 Question 4
Rational Numbers 7th Math
NCERT Exercise 9.2 Question 4
In this section, we will learn to divide a rational number by other non-zero rational numbers. In question number 4 of the Ncert Exercise 9.2, class seven math, seven questions have been given. In these seven questions, we need to divide one rational number by another rational number.
Solution of the NCERT Exercise 9.2 Question Number 4
Question (4) Find the value of :
(i) (– 4) ÷ 2/3
Solution :
Given, (– 4) ÷ 2/3
= – 4/1 ÷ 2/3
To divide one rational number by the other non-zero rational number we multiply the rational number by the reciprocal of the other.
= – 4/1 × 3/2
= – 4 × 3/2
= – 2 × 2 × 3/2
= –2 × 3
= – 6 Answer
Question (4) (ii) – 3/5 ÷ 2
Solution :
Given, – 3/5 ÷ 2
= – 3/5 ÷ 2/1
To divide one rational number by the other non-zero rational number we multiply the rational number by the reciprocal of the other.
= – 3/5 × 1/2
To find the product of two rational numbers, the numerator of the first rational number is multiplied by the numerator of the second rational number, and the denominator of the first rational number is multiplied by the denominator of the second rational number.
= – 3 × 1/5 × 2
= – 3/10
Since there are no common factors other than 1 in the numerator and denominator
Thus, – 3/10 Answer
Question (4) (iii) – 4/5 ÷ (– 3)
Solution :
Given, – 4/5 ÷ (– 3)
= – 4/5 ÷ – 3/1
To divide one rational number by the other non-zero rational number we multiply the rational number by the reciprocal of the other.
= – 4/5 × 1/ – 3
To find the product of two rational numbers, the numerator of the first rational number is multiplied by the numerator of the second rational number, and the denominator of the first rational number is multiplied by the denominator of the second rational number.
= – 4 × 1/5 × (– 3)
= – 4/ – 15
= 4/15
Since there are no common factors other than 1 in the numerator and denominator
Thus, 4/15 Answer
Question (4) (iv) – 1/8 ÷ 3/4
Solution :
Given, – 1/8 ÷ 3/4
To divide one rational number by the other non-zero rational number we multiply the rational number by the reciprocal of the other.
= – 1/8 × 4/3
To find the product of two rational numbers, the numerator of the first rational number is multiplied by the numerator of the second rational number, and the denominator of the first rational number is multiplied by the denominator of the second rational number.
= – 1 × 4/8 × 3
= – 4/24
= – 1 × 4 /6 × 4
= – 1/6 Answer
Question (4) (v) – 2/13 ÷ 1/7
Solution :
Given, – 2/13 ÷ 1/7
To divide one rational number by the other non-zero rational number we multiply the rational number by the reciprocal of the other.
= – 2/13 × 7/1
To find the product of two rational numbers, the numerator of the first rational number is multiplied by the numerator of the second rational number, and the denominator of the first rational number is multiplied by the denominator of the second rational number.
= – 2 × 7/13 × 1
= – 14/13
Since there are no common factors other than 1 in the numerator and denominator
Thus, – 14/13 Answer
Question (4) (vi) – 7/12 ÷ ( – 2/13 )
Solution :
Given, – 7/12 ÷ ( – 2/13 )
To divide one rational number by the other non-zero rational number we multiply the rational number by the reciprocal of the other.
= – 7/12 × 13/– 2
To find the product of two rational numbers, the numerator of the first rational number is multiplied by the numerator of the second rational number, and the denominator of the first rational number is multiplied by the denominator of the second rational number.
= – 7 × 13/12 × ( – 2)
= – 91/– 24
= 91/24
Since there are no common factors other than 1 in the numerator and denominator, thus the rational number is in the standard form.
Thus, 91/24 Answer
Question (4) (vii) 3/13 ÷ – 4/65
Solution :
Given, 3/13 ÷ – 4/65
To divide one rational number by the other non-zero rational number we multiply the rational number by the reciprocal of the other.
= 3/13 × 65/– 4
To find the product of two rational numbers, the numerator of the first rational number is multiplied by the numerator of the second rational number, and the denominator of the first rational number is multiplied by the denominator of the second rational number.
= 3 × 65/13 × ( – 4)
= 3 × 5 × 13 / 13 × ( – 4)
= 15/– 4
Since there is no common factor other than 1 in the numerator and denominator
Thus, 15/ – 4 Answer
Reference: