Working with Fractions
CBSE · Class 7 · Mathematics
Summary of Working with Fractions for CBSE Class 7 Mathematics. Key concepts, important points, and chapter overview.
Interactive on Super Tutor
Studying Working with Fractions? Get the full interactive chapter.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan — built for chapter summary and more.
1,000+ Class 7 students started this chapter today
Overview
Fractions are used to represent parts of a whole and to solve sharing, measuring, and comparison problems. Multiplication and division of fractions follow clear rules. Fraction multiplication can be understood through distance problems, unit squares, and the area of rectangles. Fraction division is
Key Concepts
A whole
A whole-number multiplication problem can be solved by repeated equal parts. For example, if a vehicle or person moves a fixed distance in 1 hour, the
To multiply two fractions
To multiply two fractions, multiply the numerators and multiply the denominators. Brahmagupta stated the general formula as a/b × c/d = (a×c)/(b×d). T
The area of a rectangle equals
The area of a rectangle equals length × breadth. If the sides are fractions, the shaded area shows the product of the fractions. Dividing a square int
If the numerator and denominator
If the numerator and denominator of one factor share a common factor with the other fraction, that common factor can be cancelled before multiplying.
The order of multiplication does not
The order of multiplication does not matter. Interchanging the fractions gives the same product, just as the area of a rectangle remains the same when
Learning Objectives
- Understand how to multiply a fraction by a whole number and by another fraction.
- Use unit squares and rectangles to visualize fraction multiplication.
- Apply cancellation of common factors before multiplying fractions.
- Understand the reciprocal of a fraction and use it in division.
- Divide one fraction by another using the reciprocal method.
Frequently Asked Questions
What are the important topics in Working with Fractions for CBSE Class 7 Mathematics?
How to score full marks in Working with Fractions — CBSE Class 7 Mathematics?
Sources & Official References
- NCERT Official — ncert.nic.in
- CBSE Academic — cbseacademic.nic.in
- CBSE Official — cbse.gov.in
- National Education Policy 2020 — education.gov.in
Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.
More resources for Working with Fractions
Practice Quiz
Test yourself with a quick quiz
Important Questions
Practice with board exam-style questions
Revision Notes
Key points for last-minute revision
Formula Sheet
All formulas in one place
Concept Maps
See how topics connect visually
Study Plan
Step-by-step plan to ace this chapter
Flashcards
Quick-fire cards for active recall
Syllabus
What topics to cover
NCERT Solutions
Every textbook question solved step by step
For serious students
Get the full Working with Fractions chapter — for free.
Quizzes, flashcards, AI doubt-solver and a step-by-step study plan for CBSE Class 7 Mathematics.