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# Match the equivalent fractions and write two more for each.

(i) 250/400 (a) 2/3

(ii)180/200 (b) 2/5

(iii) 660/990 (c) 1/2

(iv)180/360 (d) 5/8

(v) 220/550 (e) 9/10

**Solution:**

We use the concepts of fractions, reducing fractions and equivalent fractions to answer the given question.

In the above table, we need to reduce the fractions to their lowest form and then match them with their equivalent fractions.

To reduce the fraction to its lowest term, we will divide the fraction with the GCF of its numerator and denominator. Equivalent fractions can be obtained by multiplying the numerator and denominator of the fraction by the same number.

**(i)** 250 / 400

GCF of 250 and 400 is 50. Dividing the numerator and denominator by GCF, we get

250 / 400 ÷ 50 / 50 = 5 / 8

∴ (i) ⇔ (d)

Two more equivalent fractions are 5 / 8 × 2 / 2 = 10 / 16 and 5 / 8 × 3 /3 = 15 / 24.

**(ii**) 180 / 200

GCF of 180 and 200 is 20. Dividing the numerator and denominator by GCF, we get

180 / 200 ÷ 20 / 20 = 9 / 10

∴ (ii) ⇔ (e).

Two more equivalent fractions are 9 /10 × 2 / 2 = 18 / 20 and 9 / 10 × 3 /3 = 27 / 30.

**(iii)** 660 / 990

GCF of 660 and 990 is 330. Dividing the numerator and denominator by GCF, we get

660 / 990 ÷ 330 / 330 = 2 /3

∴ (iii) ⇔ (a).

Two more equivalent fractions are 2 / 3 × 2 / 2 = 4 / 6 and 2 /3 × 3 /3 = 6 / 9.

**(iv)** 180 / 360

GCF of 180 and 360 is 18. Dividing the numerator and denominator by GCF, we get

180 / 360 ÷ 18 / 18 = 1 /2.

∴ (iv) ⇔ (c).

Two more equivalent fractions are 1/2 × 2 / 2 = 2 / 4 and 1/2 × 3 /3 = 3 / 6.

**(v)** 220 / 550

GCF of 220 and 550 is 110. Dividing the numerator and denominator by GCF, we get

220 / 550 ÷ 110 / 110 = 2 / 5.

∴ (v) ⇔ (b).

Two more equivalent fractions are 2 / 5 × 2 / 2 = 4 / 10 and 2 / 5 × 3 /3 = 6 / 15.

NCERT Solutions Class 6 Maths Chapter 7 Exercise 7.3 Question 9

## Match the equivalent fractions and write two more for each (i) 250/400 (ii)180/200 (iii) 660/990 (iv)180/360 (v) 220/550, (a) 2/3 (b) 2/5 (c) 1/2 (d) 5/8 (e) 9/10

**Summary:**

The pair of equivalent fractions are (i) 250/400 and (d) 5/8, (ii) 180/200 and (e) 9/10, (iii) 660/990 and (a) 2/3, (iv) 180/360 and (c) 1/2 and (v) 220/550 and (b) 6/15.

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