Mathematics · Class 6
Fractions
Proper, improper, and mixed fractions; equivalent fractions and operations.
4 sections15–25 min read6 MCQs · 2 examples
Chapter Overview
Fractions represent parts of a whole. You learn proper, improper, and mixed fractions, equivalent fractions, comparison, and operations — addition, subtraction, multiplication, and division.
Types of Fractions
- Proper: numerator < denominator (e.g. 3/5)
- Improper: numerator ≥ denominator (e.g. 7/4)
- Mixed: whole number + proper fraction (e.g. 1¾)
- Like fractions have same denominator
Equivalent and Simplest Form
- Multiply/divide numerator and denominator by same non-zero number
- Simplest form: HCF of numerator and denominator is 1
- Cross-multiplication to compare unlike fractions
Operations
Add/subtract like
a/c ± b/c = (a±b)/c
Multiply
a/b × c/d = ac/bd
Divide
a/b ÷ c/d = a/b × d/c
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Example 1: Add Unlike Fractions
Add 2/3 and 1/4.
- 1LCM of 3,4 = 12
- 22/3 = 8/12
- 31/4 = 3/12
- 48/12 + 3/12 = 11/12
Answer
11/12
Example 2: Mixed to Improper
Convert 2¾ to improper fraction.
- 1(2×4 + 3)/4
- 2= 11/4
Answer
11/4
Key Points to Remember
- ✓ Always convert to like fractions before adding/subtracting
- ✓ Invert and multiply for division
- ✓ Mixed numbers useful in daily life (2½ kg flour)
Exam Tips
- • Show LCM step for unlike fractions
- • Simplify final answer to lowest terms
Practice MCQs — Fractions
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 6Score: 0/0
Which is a proper fraction?