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JAC • Class 7 • Mathematics • Ch 2
Estimated Time: 45 Mins
Study Progress: In Progress

Fractions

JCERT · Class 7 · Chapter 2 · Fractions. Topic notes aligned to the official chapter; these are not solutions to every textbook exercise.

Why This Chapter Matters

JCERT · Class 7 · Chapter 2 · Fractions. Topic notes aligned to the official chapter; these are not solutions to every textbook exercise.

Before You Begin (Prerequisites)

  • Revise relevant arithmetic and ideas from the previous grade.

What You Will Learn (Core Objectives)

  • A fraction has a numerator and a nonzero denominator. Use a common denominator to compare, add or subtract. Multiply numerators and denominators; divide by a nonzero fraction by multiplying by its reciprocal.

Chapter Roadmap & Progression

1 Syllabus, textbook and notes alignm...
2 Concept and method
3 Check and common pitfall

Complete Concept Guide (100% Curriculum Coverage)

Syllabus, textbook and notes alignment

JCERT · Regular schools (Non-SOE) · Class 7 · Chapter 2 — Fractions
Official syllabus pages 40–56. Official syllabus · Prescribed Hindi book (22 chapters) · Separate supplementary reference.

These topic notes and teaching examples are not a complete answer key to every textbook question. English notes use this same JCERT chapter order; a matching English textbook PDF has not been verified.

Official Hindi PDF for this exact chapter

Concept and method

A fraction has a numerator and a nonzero denominator. Use a common denominator to compare, add or subtract. Multiply numerators and denominators; divide by a nonzero fraction by multiplying by its reciprocal.

Check and common pitfall

Invert the divisor, not the first fraction.

Key Formulas, Identities & Theorems

Key relationships
a/b × c/d = ac/bd; a/b ÷ c/d = ad/bc (b,c,d ≠ 0)
Observe the stated conditions and units.

Conceptual Solved Examples & Case Studies

Example 1
Divide 2/3 by 4/5.
Step-by-Step Solution:

(2/3) × (5/4) = 10/12 = 5/6

Invert the divisor, not the first fraction.

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