NCERT Solutions for Ganita Prakash Chapter 7 Fractions
Updated on 2026-09-05
About this chapter
When one whole is divided into equal parts, each part is a fractional unit — 1 ⁄ 2 , 1 ⁄ 3 , 1 ⁄ 4 , … The more people share the same thing, the smaller each share: 1 ⁄ 9 < 1 ⁄ 5 . A fraction like 3 ⁄ 4 is best read as “ 3 times 1 ⁄ 4 ” — it tells you the fractional unit ( 1 ⁄ 4 ) and how many of them there are (3). The top number is the numerator , the bottom the denominator . Every fraction has a point on the number line . If the numerator is smaller than the denominator the fraction is less than 1; if it is bigger, the fraction is more than 1 and can be written as a mixed number , e.g. 10 ⁄ 7 = 1 3 ⁄ 7 . Equivalent fractions show the same share in different fractional units: 1 ⁄ 2 = 2 ⁄ 4 = 3 ⁄ 6 = 4 &frasl
- – 153Section 7.1 Fractional Units and Equal Shares
- Fractional Units and Equal Shares
- Fractional Units as Parts of a Whole
- Measuring Using Fractional Units
- Marking Fraction Lengths on the Number Line
- Mixed Fractions
- Fractions greater than one
- Writing fractions greater than one as mixed numbers
- Writing a mixed number as a regular fraction
- Equivalent Fractions · the fraction wall
Exercises
- – 153Section 7.1 Fractional Units and Equal Shares — In-text Questions Page 151
- Figure it Out — Fractional Units and Equal Shares Page 152 & 153
- In-text Questions — Fractional Units as Parts of a Whole Page 154 & 155
- Figure it Out — Fractional Units as Parts of a Whole Page 155
- In-text Questions — Measuring Using Fractional Units Page 156 & 157
- Figure it Out — Measuring Using Fractional Units Page 158
- In-text Questions — Marking Fraction Lengths on the Number Line Page 159
- Figure it Out — Marking Fraction Lengths on the Number Line Page 160
- In-text Questions — Mixed Fractions Page 161
- Figure it Out — Fractions greater than one Page 162
- Writing fractions greater than one as mixed numbers — Figure it Out Page 162
- Writing a mixed number as a regular fraction — Figure it Out Page 163
- In-text Questions — Equivalent Fractions · the fraction wall Page 164
- Figure it Out — Equivalent Fractions Page 165
- Understanding equivalent fractions using equal shares — Figure it Out Page 166
- – 168Equal shares and equivalent fractions — In-text Questions Page 166
- Figure it Out — Equivalent Fractions Page 168 & 169
- Comparing shares using equivalent fractions — In-text Questions Page 169 & 170
- Equivalent fractions with the same fractional unit — In-text Question Page 172
- Expressing a fraction in lowest terms — Figure it Out Page 173
- Figure it Out — Comparing Fractions Page 174
- In-text Questions — Addition and Subtraction of Fractions Page 175 & 177
- Brahmagupta’s method for adding fractions — Figure it Out Page 179
- Subtracting fractions with the same fractional unit — In-text Question Page 180
- Subtraction with the same denominator — Figure it Out Page 181
- Brahmagupta’s method for subtracting fractions — Figure it Out Page 182
- Puzzle — A Pinch of History · Egyptian fractions Page 184 & 185