EN हिं

NCERT Solutions Ganita Prakash Chapter 7 Figure it Out — Equivalent Fractions

Book page 165 Updated on2026-09-05

Q1.
Are 3⁄6, 4⁄8, 5⁄10 equivalent fractions? Why?
Answer

Yes — all three are just other names for one half.

3/6 = (3 ÷ 3)/(6 ÷ 3) = 1/2
4/8 = (4 ÷ 4)/(8 ÷ 4) = 1/2
5/10 = (5 ÷ 5)/(10 ÷ 5) = 1/2

On the fraction wall their shaded lengths end at exactly the same line, so they denote the same length in different fractional units.

The pattern: in each one the numerator is exactly half the denominator, so half the strip is shaded.
Q2.
Write two equivalent fractions for 2⁄6.
Answer
2/6 = (2 ÷ 2)/(6 ÷ 2) = 1/3  (divide by 2)
2/6 = (2 × 3)/(6 × 3) = 6/18  (multiply by 3)
Also 2/6 = 3/9 = 4/12 = 5/15 …

Answer: 1⁄3 and 3⁄9 are two easy ones (any pair from the list is correct).

Q3.
4⁄6 = ___ = ___ = ___ = … (Write as many as you can)
Answer

Divide by 2 once, then keep multiplying the simplest form by 2, 3, 4, …

4/6 = 2/3 = 6/9 = 8/12 = 10/15 = 12/18 = 14/21 = 20/30 = …

The list never ends, because you can multiply the numerator and denominator of 2⁄3 by any number you like.

Tip: 2⁄3 is the simplest form — the smallest pair of numbers in the whole family.
Was this helpful? Report an error