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Lesson

Simplifying and Equating Ratios

Ratios can be simplified by dividing both terms by their highest common factor (HCF), just like simplifying tions./A simplified ratio shows the most reduced form of comparison, making calculations easier. For example, 50: 20 simplifies to 5: 2. Ratios can also be made equivalent by multiplying or dividing both terms by the same number.

40min lesson

Objectives3 goals Lesson7 blocks Review3 assets Practice31 items

Learning objectives

What to understand

3 goals

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Understand simplifying and equating ratios in the Ratio and Proportion chapter.
Connect the idea with formulas, examples, and exam-style questions.
Use flashcards, notes, MCQs, and LAQs to check readiness.

Lesson

Step-by-step lesson

7 sections

Concept

Componendo and Dividendo

These properties help simplify ratios. Componendo adds numerator and denominator; dividendo subtracts them. 💡 Exam Tip: Keep the order of terms consistent while writing ratios and proportions. In applications, identify whether the problem is direct proportion or inverse proportion before solving. ⚠️ Common Mistake: Students often invert one ratio accidentally or mix direct proportion with inverse proportion. 📌 Trigger: Order matters

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7 lesson sections1 cards / 2 notes17 MCQs / 14 written questions

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Notes

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Simplifying and Equating Ratios
2
Common Mistakes and How to Avoid Them

Practice

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31 prompts

17 MCQs14 LAQsMixed test

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In this chapter

Ratio and Proportion

Topic 3 of 7

Now on Simplifying and Equating Ratios. Next up: Proportion and Four Terms.

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Ratio and Proportion
Ratio Basics
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Proportion and Four Terms
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Simplifying and Equating Ratios

What to understand

Step-by-step lesson

Componendo and Dividendo

Componendo and Dividendo example

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