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NCERT Solutions Ganita Prakash Chapter 7 Writing fractions greater than one as mixed numbers — Figure it Out

Book page 162 Updated on2026-09-05

Q1.
Figure out the number of whole units in each of the following fractions: a. 8⁄3 b. 11⁄5 c. 9⁄4
Answer
a. 8/3 → 3 + 3 + 2 thirds → 2 whole units and 2/3 left, 8/3 = 2 2/3
b. 11/5 → 5 + 5 + 1 fifths → 2 whole units and 1/5 left, 11/5 = 2 1/5
c. 9/4 → 4 + 4 + 1 quarters → 2 whole units and 1/4 left, 9/4 = 2 1/4

Answer: each of them contains 2 whole units.

Q2.
Can all fractions greater than 1 be written as such mixed numbers?
Answer

Almost all — but not the ones that are exactly whole numbers.

A mixed number needs two parts: a whole part and a fractional part that is less than 1. If the denominator divides the numerator exactly, nothing is left over.

8/4 = 2 → only a whole part, so it is written simply as 2
9/4 = 2 + 1/4 → written as 2 1/4 ✔

So: every fraction greater than 1 whose numerator is not a multiple of its denominator can be written as a mixed number; the rest are whole numbers already.

Q3.
Write the following fractions as mixed fractions (e.g., 9⁄2 = 41⁄2): a. 9⁄2 b. 9⁄5 c. 21⁄19 d. 47⁄9 e. 12⁄11 f. 19⁄6
Answer

Divide the numerator by the denominator. The quotient is the whole part and the remainder becomes the new numerator.

FractionDivisionMixed number
a. 9/29 ÷ 2 = 4 remainder 14 1/2
b. 9/59 ÷ 5 = 1 remainder 41 4/5
c. 21/1921 ÷ 19 = 1 remainder 21 2/19
d. 47/947 ÷ 9 = 5 remainder 25 2/9
e. 12/1112 ÷ 11 = 1 remainder 11 1/11
f. 19/619 ÷ 6 = 3 remainder 13 1/6
Check it yourself: 52⁄9 = 5 × 9 + 2 = 47 ninths = 47⁄9 ✔
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