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JAC • Class 7 • Mathematics • Ch 6
Estimated Time: 45 Mins
Study Progress: In Progress

Ratio and Proportion

JCERT · Class 7 · Chapter 6 · Ratio and Proportion. Topic notes aligned to the official chapter; these are not solutions to every textbook exercise.

Why This Chapter Matters

JCERT · Class 7 · Chapter 6 · Ratio and Proportion. 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 ratio compares quantities. Convert quantities of the same kind into matching units, then simplify both terms by a common nonzero factor. Two equal ratios form a proportion.

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 6 — Ratio and Proportion
Official syllabus pages 103–110. 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 ratio compares quantities. Convert quantities of the same kind into matching units, then simplify both terms by a common nonzero factor. Two equal ratios form a proportion.

Check and common pitfall

Convert the hour to minutes before comparing.

Key Formulas, Identities & Theorems

Key relationships
a:b = c:d ⇔ ad = bc (b,d ≠ 0)
Observe the stated conditions and units.

Conceptual Solved Examples & Case Studies

Example 1
Find the ratio of 1 hour to 30 minutes.
Step-by-Step Solution:

60:30 = 2:1

Convert the hour to minutes before comparing.

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