Replace ☐ in each of the following by the correct number:
(a) 2 / 7 = 8 / ☐
(b) 5 / 8 = 10 / ☐
(c) 3 / 5 = ☐ / 20
(d) 45 / 60 = 15 / ☐
(e) 18 / 24 = ☐ / 4

Solution:

We use the concepts of fractions and equivalent fractions to answer the given questions. Fractions that have the same values irrespective of their numerators and denominators are called equivalent fractions.
Here, we multiply the numerator or the denominator with appropriate numbers wherever applicable to ensure that the LHS is equal to the RHS that is, the fractions on the LHS and RHS are Equivalent Fractions

(a) 2 / 7 = 2 / 7 × 4 / 4 = 8 / 28

∴ 28 is the correct number.

(b) 5 / 8 = 5 / 8 × 2 / 2 = 10 / 16

∴ 16 is the correct number.

(c) 3 / 5 = 3 / 5 × 4 / 4 = 12 / 20

∴ 12 is the correct number.

(d) 45 / 60 = 45 / 60 ÷ 3 / 3 = 15 / 20

∴ 20 is the correct number.

(e) 18 / 24 =18 / 24 ÷ 6 / 6 = 3 / 4

∴ 3 is the correct number.

NCERT Solutions Class 6 Maths Chapter 7 Exercise 7.3 Question 3

Replace ☐ in each of the following by the correct number: (a) 2 / 7 = 8 / ☐ (b) 5 / 8 = 10 / ☐ (c) 3 / 5 = ☐ / 20 (d) 45 / 60 = 15 / ☐ (e) 18 / 24 = ☐ / 4

Summary:

Using the concepts of fractions and equivalent fractions, it can be concluded that the numbers required to replace the blanks to ensure that the LHS is equal to the RHS that is, the fractions on the LHS and RHS are equivalent fractions are (a) 28 (b) 16 (c) 12 (d) 20 and (e) 3.

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