Solve the following:
(i) 7/24 - 17/36
(ii) 5/63 - (- 6/21)
(iii) -6/13 - (-7/15)
(iv) -3/8 - 7/11
(v) - \(2{\Large\frac{1}{9}}\) - 6

Solution:

To solve these questions, take the L.C.M of denominator or convert them into like fractions.

(i) 7/24 - 17/36

Taking L.C.M of 24 and 36 , we get 72

7/24 - 17/36 = (7 × 3)/(24 × 3) - (17 × 2)/(36 × 2)

= 21/72 - 34/72 = (21 - 34)/ 72

= - 13/72

(ii) 5/63 - (- 6/21 )

Taking L.C.M of 63 and 21, we get 63

5/63 - (- 6/21) = (5 × 1)/(63 × 1) + (6 × 3)/(21 × 3)

= 5/63 + 18/63

= (5 + 18)/63

= 23/63

(iii) - 6/13 - (- 7/15)

Taking L.C.M of 13 and 15, we get 195

- 6/13 - (- 7/15) = (- 6 × 15)/(13 × 15) + (7 × 13)/(15 × 13)

= - 90/195 + 91/195

= (-90 + 91)/195

= 1/195

(iv) - 3/8 - 7/11

Taking L.C.M of 8 and 11, we get 88

-3/8 - 7/11 = (- 3 × 11)/(8 × 11) - (7 × 8)/(11 × 8)

= - 33/88 - 56/88

= (-33 - 56)/88

= - 89/88

(v) - \(2{\Large\frac{1}{9}}\) - 6

- \(2{\Large\frac{1}{9}}\) - 6 = - 19/9 - 6/1

Taking L.C.M of 9 and 1, we get 9

-19/9 - 6/1 = -19/(9 × 1) - (6 × 9)/(1 × 9)

= -19/9 - 54/9 = (-19 - 54)/9

= - 73/9

☛ Check: NCERT Solutions Class 7 Maths Chapter 9

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Video Solution:

Solve the following: (i) 7/24 - 17/36. (ii) 5/63 - (- 6/21) (iii) -6/13 - (-7/15) (iv) -3/8 - 7/11 (v) - \(2{\Large\frac{1}{9}}\) - 6

Class 7 Maths NCERT Solutions Chapter 9 Exercise 9.2 Question 2

Summary:

The value of the following (i) 7/24 - 17/36 (ii) 5/63 - (- 6/21) (iii) -6/13-  (-7/15) (iv) -3/8 - 7/11 (v) - \(2{\Large\frac{1}{9}}\) - 6 are: (i) -13/72 (ii) 23/63 (iii) 1/195 (iv) -89/88 (v) -73/9

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