Complete the addition-subtraction box.

 

Solution:

We will use the concepts of fractions to solve this.

Let us proceed to find the missing numbers in the given box.

Let us use the Addition and Subtraction of numbers to solve the given problem.

(a)

2/3 + 4/3 = (2 + 4)/3 = 6/3 = 2

1/3 + 2/3 = (1 + 2)/3 = 3/3 = 1

2/3 - 1/3 = (2 - 1)/3 = 1/3

4/3 - 2/3 = (4 - 2)/3 = 2/3

1/3 + 2/3 = (1 + 2)/3 = 3/3 = 1

Hence, the complete box is

(b)

1/2 + 1/3 = [(1 × 3) + (1 × 2)]/6 = (3 + 2)/6 = 5/6

1/3 + 1/4 = [(1 × 4) + (1 × 3)]/12 = (4 + 3)/12 = 7/12

1/2 - 1/3 = [(1 × 3) - (1 × 2)]/6 = (3 - 2)/6 = 1/6

1/3 - 1/4 = [(1 × 4) - (1 × 3)]/12 = (4 - 3)/12 = 1/12

1/6 + 1/12 = [(1 × 2) + 1]/12 = (2 + 1)/12 = 3/12 = 1/4

Hence, the complete box is

You can also use the Fraction Calculator to check your answer.

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.6 Question 5

Complete the addition-subtraction box.

Summary:

(a) The solution for the addition of 2/3 and 4/3 is 2 and that of 1/3 and 2/3 is 1. The solution for the subtraction of 1/3 from 2/3 is 1/3 and that of 2/3 from 4/3 is 2/3. (b) The solution for the addition of 1/2 and 1/3 is 5/6 and that of 1/3 and 1/4 is 7/12. The solution for the subtraction of 1/3 from 1/2 is 1/6 and that of 1/4 from 1/3 is 1/12.

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