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NCERT Solutions for Class 5th Maths Chapter 2 Practising equivalent fractions — Let Us Do

Book page 22 Updated on2026-09-19

Q1.
Fill in the blanks with equivalent fractions. There may be more than one answer. (a) 1/7 = ____ (b) 2/3 = ____ (c) 3/4 = ____ (d) 3/5 = ____
Answer

Multiply the top and the bottom by the same number. Any such answer is correct.

PartGiven× 2× 3× 4× 10
(a)1/72/143/214/2810/70
(b)2/34/66/98/1220/30
(c)3/46/89/1212/1630/40
(d)3/56/109/1512/2030/50

Working for (b), step by step:

  1. Start with 2/3.
  2. Choose the number 2.
  3. Top: 2 × 2 = 4. Bottom: 3 × 2 = 6.
  4. So 2/3 = 4/6.
Check it yourself: Divide your answer back by the same number and you must land on the original fraction. 9/12 ÷ 3 = 3/4 ✓.
Q2.
Put a tick (✓) against the fractions that are equivalent. (a) 2/3 and 3/4 (b) 3/5 and 6/10 (c) 4/12 and 2/6 (d) 6/9 and 1/3
Answer

(a) ✗   (b) ✓   (c) ✓   (d) ✗

PartPairTestEquivalent?
(a)2/3 and 3/43 × ? = 4 — no whole number works. Also 2/3 in smallest form is 2/3, and 3/4 is 3/4.No ✗
(b)3/5 and 6/105 × 2 = 10 and 3 × 2 = 6Yes ✓
(c)4/12 and 2/64/12 ÷ 4 = 1/3 and 2/6 ÷ 2 = 1/3 — both are 1/3Yes ✓
(d)6/9 and 1/36/9 ÷ 3 = 2/3, and 2/3 is not 1/3No ✗
6/9 — six parts out of nine shaded 1/3 — one part out of three. The red lengths aredifferent, so 6/9 ≠ 1/3.
Part (d) shown as strips: 6/9 fills two-thirds of the strip, not one-third.
A quick eye-test: In (d), 6 is more than half of 9, so 6/9 is more than 1/2 — while 1/3 is less than 1/2. They cannot possibly be equal.
Q3.
Fill in the boxes such that the fractions become equivalent. (a) 2/5 = □/10 (b) 3/4 = □/16 (c) 4/7 = 8/□ (d) 5/9 = 25/□
Answer

(a) 4   (b) 12   (c) 14   (d) 45

The method is the same every time: find what the number you can see was multiplied by, then do the same to the other number.

PartQuestionMultiplied byWorkingAnswer
(a)2/5 = □/1010 ÷ 5 = 22 × 2 = 42/5 = 4/10
(b)3/4 = □/1616 ÷ 4 = 43 × 4 = 123/4 = 12/16
(c)4/7 = 8/□8 ÷ 4 = 27 × 2 = 144/7 = 8/14
(d)5/9 = 25/□25 ÷ 5 = 59 × 5 = 455/9 = 25/45

Working for (b), step by step:

  1. Look at the two bottom numbers: 4 and 16.
  2. Ask: 4 times what is 16?   16 ÷ 4 = 4.
  3. Do the same to the top: 3 × 4 = 12.
  4. So the box is 12, and 3/4 = 12/16.
Check it yourself: Divide the answer by the number you used. 25/45 ÷ 5 = 5/9 ✓, and 8/14 ÷ 2 = 4/7 ✓.
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