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Fill in the boxes:
(a) ▯ - 5/8 = 1/4
(b) ▯ - 1/5 = 1/2
(c) 1/2 - ▯ = 1/6

Solution:

We will use the concepts of fractions to solve this.

To solve the given problem, we need to perform only two operations: the addition and subtraction of fractions.

Let us see how to apply.

(a) ▯ - 5/8 = 1/4

As we can see, 1/4 more than 5/8 is the missing number

▯ - 5/8 = 1/4

▯ = 5/8 + 1/4

▯ = (5 × 1 + 1 × 2) / 8

▯ = (5 + 2) / 8

▯ = 7/8

(b) ▯ - 1/5 = 1/2

As we can see, 1/2 more than 1/5 is the missing number

▯ - 1/5 = 1/2

▯ = 1/5 + 1/2

▯ = (1 × 2) / (5 × 2) + (1 × 5) / (2 × 5)

▯ = 2/10 + 5/10

▯ = 7/10

(c) 1/2 - ▯ = 1/6

As we can see, 1/6 less than 1/2 is the missing number

1/2 - ▯ = 1/6

▯ = 1/2 - 1/6

▯ = (1 × 3) / (2 × 3) - (1 × 1) / (6 × 1)

▯ = (3 - 1) / 6

▯ = 1/3

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

NCERT Solutions for Class 6 Maths Chapter 7 Exercise 7.6 Question 4

Summary:

The required answer for the given boxes are: (a) 7 / 8, (b) 7 / 10, (c) 1 / 3

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