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Chapter 8 of 8
Syllabus

Working with Fractions

CBSE · Class 7 · Mathematics

Complete topic list for Working with Fractions in CBSE Class 7 Mathematics. Key concepts, sub-topics, and what to focus on for board exams.

45 questions20 flashcards5 concepts
4 Topics · CBSE Class 7 Mathematics

Topics in Working with Fractions

1

Multiplication of Fractions

  • Multiplication of fractions follows the same principle as multiplying whole numbers - repeated addition
  • When multiplying a whole number by a fraction, multiply the numerator by the whole number and keep the same denominator
  • When multiplying two fractions, multiply numerators together and denominators together
2

Properties of Multiplication with Fractions

  • When both numbers are greater than 1, the product is greater than both numbers
  • When both numbers are between 0 and 1, the product is less than both numbers
  • When one number is between 0 and 1 and another is greater than 1, the product lies between them
3

Division of Fractions

  • Division can be converted into multiplication by using reciprocals
  • To divide by a fraction, multiply by its reciprocal (flip the numerator and denominator)
  • The reciprocal of a/b is b/a
4

Historical Context and Applications

  • Fraction operations were developed in ancient India, with rules codified by Brahmagupta in 628 CE
  • Bhāskara II (1150 CE) further clarified these methods in his book Līlāvatī
  • Ancient Indian texts like Śulbasūtra (800 BCE) used fractions extensively

Key Concepts

When multiplying fractionsA unit square represents the wholeBefore multiplying fractionsTo divide fractionsWhen multiplying

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Frequently Asked Questions

What are the important topics in Working with Fractions for CBSE Class 7 Mathematics?

Working with Fractions covers several key topics that are frequently asked in CBSE Class 7 board exams. Focus on the core concepts listed on this page and practise related questions to build confidence.

Start by understanding all key concepts. Practise previous year questions from this chapter. Revise formulas and definitions regularly. Use flashcards for quick revision before the exam.

Sources & Official References

Content is aligned to the official syllabus. Refer to the board website for the latest curriculum.