Fractions Sums for Class 6 — Free CBSE Worksheet PDF with Answers

Half a roti, a quarter of a pizza, three-fourths of your homework done. Fractions describe parts of everyday life. A fraction has two parts that work together: the numerator on top tells you how many parts you have, and the denominator below tells you how many equal parts the whole is divided into. So $\frac{3}{4}$ means three out of four equal parts.

In Class 6 CBSE, you go beyond shading shapes. You learn to classify fractions as proper, improper, or mixed; find equivalent fractions; reduce to simplest form using HCF; compare and order fractions with different denominators; and add or subtract fractions, including unlike fractions. Mastering these now is essential — Class 7 fraction multiplication and division will not make sense without them.

This worksheet has 60 questions split across three levels. Level 1 covers identification, equivalent fractions, and simplest form. Level 2 tackles like-fraction operations and converting between mixed and improper. Level 3 handles unlike fractions and word problems.

Two fractions are equivalent if they represent the same amount. $\frac{1}{2}$, $\frac{2}{4}$, $\frac{3}{6}$, and $\frac{50}{100}$ are all equivalent. To generate equivalent fractions, multiply numerator and denominator by the same non-zero number. To check whether two fractions are equivalent, cross-multiply: $\frac{2}{5}$ and $\frac{6}{15}$ are equivalent because $2 \times 15 = 5 \times 6 = 30$.

A fraction is in simplest form (also called lowest terms) when the numerator and denominator share no common factor other than 1. To reduce $\frac{18}{24}$, find the HCF of 18 and 24, which is 6. Divide both by 6: $\frac{18 \div 6}{24 \div 6} = \frac{3}{4}$. Always check whether your final answer can be simplified — examiners expect simplified answers.

Like fractions have the same denominator, and they are easy: just add or subtract the numerators and keep the denominator. So $\frac{3}{8} + \frac{5}{8} = \frac{8}{8} = 1$.

Unlike fractions have different denominators, so you must convert them to the same denominator first. Find the LCM of the two denominators, rewrite each fraction with that LCM as denominator, then add or subtract numerators. Example: $\frac{1}{3} + \frac{1}{4}$. LCM of 3 and 4 is 12. So $\frac{1}{3} = \frac{4}{12}$ and $\frac{1}{4} = \frac{3}{12}$. Sum: $\frac{4}{12} + \frac{3}{12} = \frac{7}{12}$.

Mixed fractions like $3\frac{2}{5}$ should usually be converted to improper fractions before adding or subtracting. The rule: $3\frac{2}{5} = \frac{3 \times 5 + 2}{5} = \frac{17}{5}$. After the operation, convert back to a mixed fraction if the question asks for one.

To compare two unlike fractions, the cleanest method is to convert both to the same denominator using LCM. To compare $\frac{4}{7}$ and $\frac{3}{5}$: LCM of 7 and 5 is 35. So $\frac{4}{7} = \frac{20}{35}$ and $\frac{3}{5} = \frac{21}{35}$. Since $21 > 20$, $\frac{3}{5} > \frac{4}{7}$.

A faster cross-multiplication trick works for two fractions: $\frac{a}{b}$ vs $\frac{c}{d}$. Compare $a \times d$ with $b \times c$. Whichever cross-product is bigger, that fraction is bigger. For $\frac{4}{7}$ vs $\frac{3}{5}$: $4 \times 5 = 20$, $7 \times 3 = 21$. $21 > 20$, so $\frac{3}{5}$ is greater. This trick is exam-friendly and saves time.