Class 7 Maths Ch 8: Working with Fractions – learn to multiply fractions with whole numbers and other fractions with notes, solved sums, extra questions and quiz for CBSE Exam

Complete Chapter 8 guide: multiplying a whole number by a fraction (Aaron’s walking distance), multiplying a fraction by a fraction (tortoise speed example), using unit squares to visualize fraction multiplication, solving word problems involving land distribution, internet costs, milk consumption, and moon setting times, plus clear steps, solved examples and practice questions for CBSE Class 7 Maths

Updated: 6 months ago

Categories: Class 7 Mathematics, NCERT Maths Notes 2025, Fractions & Operations, Multiplication of Fractions, CBSE Exam Preparation, Practice Questions & Quizzes
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Class 7 Mathematics Chapter 8: Working with Fractions – Complete Notes, Solutions, Questions & Answers 2025

Working with Fractions

Class 7 Mathematics Chapter 8 | Complete Guide | Multiplication, Division, Reciprocals, Brahmagupta's Formulas

Chapter at a Glance – Working with Fractions

This chapter introduces multiplication and division of fractions, including operations with whole numbers and fractions, reciprocals, Brahmagupta's formulas, and practical applications.

Main Topics Covered

  • Multiplication of fractions with whole numbers
  • Multiplication of two fractions
  • Connection between area and fraction multiplication
  • Simplifying fractions by cancelling common factors
  • Division of fractions using reciprocals
  • Brahmagupta's formulas for multiplication and division
  • Product and quotient relationships
  • Real-world problem solving with fractions

Key Takeaways for Exams

Fraction × Whole

\(\frac{a}{b} \times c = \frac{a \times c}{b}\)

Fraction × Fraction

\(\frac{a}{b} \times \frac{c}{d} = \frac{a \times c}{b \times d}\)

Reciprocal

Reciprocal of \(\frac{a}{b}\) is \(\frac{b}{a}\)

Division Formula

\(\frac{a}{b} \div \frac{c}{d} = \frac{a}{b} \times \frac{d}{c}\)

Cancel Common Factors

Simplify before multiplying

Area Connection

Rectangle area = product of sides

Practice Quiz

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Quizzes

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HIMAKSHI GUPTA . scored 2/10 on Integers and Rational Numbers Naavya Agarwal scored 0/10 on Integers and Rational Numbers Anshika Yadav scored 0/10 on Integers and Rational Numbers HIMAKSHI GUPTA . scored 2/10 on Integers and Rational Numbers Naavya Agarwal scored 0/10 on Integers and Rational Numbers Anshika Yadav scored 0/10 on Integers and Rational Numbers
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