Mathematics · Class 7
Fractions and Decimals
Multiplication and division of fractions and decimals in real-life problems.
4 sections15–25 min read6 MCQs · 2 examples
Chapter Overview
Class 7 extends fractions and decimals to multiplication, division, reciprocals, and conversion between forms — essential for science and commerce calculations.
Multiplication and Division
Multiply fractions
a/b × c/d = ac/bd
Divide fractions
a/b ÷ c/d = a/b × d/c (multiply by reciprocal)
Reciprocal
Reciprocal of a/b is b/a
Decimals
- Multiply decimals: multiply as whole numbers, then place decimal
- Divide by 10, 100, 1000: shift decimal left
- 0.5 × 0.2 = 0.10
Conversion
- Fraction to decimal: divide numerator by denominator
- Decimal to fraction: use place value denominator
- 2.375 = 2 + 375/1000 = 2⅜
Solved Examples
Step-by-step solutions — read each step before checking the final answer.
Example 1: Divide Fractions
Find 2/3 ÷ 4/5.
- 12/3 × 5/4
- 2= 10/12
- 3= 5/6
Answer
5/6
Example 2: Decimal Division
Divide 6.48 by 0.4.
- 1Multiply both by 10: 64.8 ÷ 4
- 2= 16.2
Answer
16.2
Key Points to Remember
- ✓ Reciprocal of whole number n is 1/n
- ✓ Division by fraction = multiply by reciprocal
- ✓ Check decimal place count in products
Exam Tips
- • Convert mixed fractions to improper before multiply/divide
- • Shift decimals equally in division
Practice MCQs — Fractions and Decimals
Test your understanding with topic-wise multiple choice questions. Explanations appear after each answer.
Question 1 of 6Score: 0/0
Reciprocal of 3/7 is: