How many whole units are there in 4 &frasl; 3 and in 7 &frasl; 3 ?

Three thirds make one whole, so group the thirds in threes. 4/3 = (1/3 + 1/3 + 1/3) + 1/3 = 1 whole + 1/3 7/3 = (3 thirds) + (3 thirds) + 1/3 = 2 wholes + 1/3 Answer: 4 &frasl; 3 has 1 whole unit; 7 &frasl; 3 has 2 whole units. Tip: the number of whole units is simply “how many times the denominator fits into the numerator”. 3 fits once in 4, and twice in 7.

NCERT Solutions Ganita Prakash Chapter 7 Figure it Out — Fractions greater than one

Book page 162 Updated on2026-09-05

Q1.

How many whole units are there in ⁷⁄₂?

Answer

Two halves make one whole, so group the halves in pairs.

7/2 = (1/2 + 1/2) + (1/2 + 1/2) + (1/2 + 1/2) + 1/2
= 1 + 1 + 1 + 1/2 = 3 + 1/2

Answer: there are 3 whole units in ⁷⁄₂ (and one extra half).

Q2.

How many whole units are there in ⁴⁄₃ and in ⁷⁄₃?

Answer

Three thirds make one whole, so group the thirds in threes.

4/3 = (1/3 + 1/3 + 1/3) + 1/3 = 1 whole + 1/3
7/3 = (3 thirds) + (3 thirds) + 1/3 = 2 wholes + 1/3

Answer: ⁴⁄₃ has 1 whole unit; ⁷⁄₃ has 2 whole units.

Tip: the number of whole units is simply “how many times the denominator fits into the numerator”. 3 fits once in 4, and twice in 7.

Was this helpful? Report an error