NCERT Solutions for Class 6th Maths Chapter 7 Fractions
Updated on 2026-09-19
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 ⁄ 8 . Multiplying (or dividing) the numerator and denominator by the same number never ch
- 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
- Equivalent Fractions
Quick revision
| Idea | Rule in short | Example from the chapter | Result |
|---|---|---|---|
| Fractional unit | 1 whole shared equally by n | 1 roti shared by 4 children | 1/4 roti each |
| Reading a fraction | 3/4 = 3 times 1/4 | 5/6: 5 is numerator, 6 is denominator | ‘5 upon 6’ |
| Fraction on a number line | 0 to 1 cut into n equal parts | unit cut into 5 parts, 4 steps | 4/5 |
| Fraction greater than 1 | numerator > denominator | 4/7 + 6/7 = 10/7 | 1 3/7 |
| Mixed number to fraction | (whole × denominator) + numerator | 3 1/4 = (3 × 4 + 1)/4 | 13/4 |
| Equivalent fractions | × or ÷ numerator and denominator by the same number | 1/2 = 2/4 = 3/6 = 4/8 | same length |
| Simplest form | divide both by the highest common factor | 16/20 ÷ 4 | 4/5 |
| Comparing fractions | make the denominators the same | 4/5 = 36/45, 7/9 = 35/45 | 4/5 > 7/9 |
| Adding like fractions | add numerators, keep the denominator | 2/5 + 1/5 | 3/5 |
| Brahmagupta — addition | common denominator, then add | 1/4 + 1/3 = 3/12 + 4/12 | 7/12 |
| Brahmagupta — subtraction | common denominator, then subtract | 3/4 − 2/3 = 9/12 − 8/12 | 1/12 |
| Egyptian-fraction puzzle | 1 as a sum of different fractional units | 1/2 + 1/3 + 1/6 | = 1 |
Exercises
- In-text Questions — Fractional Units and Equal Shares Page 151 – 153
- 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
- Equal shares and equivalent fractions — In-text Questions Page 166 – 168
- 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