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αAπΣ∞∂θ√x²≠∫÷≤%+−½αβΔλφ³≈∑°
  1. Home/
  2. Mathematics/
  3. Grade 6/
  4. Unit 2/
  5. What Is a Ratio?
Grade 6 · Unit 2Topic 1 of 3~12 min

What Is a Ratio?

Compare two quantities — and find ratios that mean the same thing.

All topics in this unit
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 1 · Learn

Walkthrough

Read this first — it covers the idea in plain language with a worked example.

Comparing with ratios

A ratio compares two amounts. If a recipe uses 2 cups of flour and 3 cups of sugar, the ratio of flour to sugar is 2 to 3 — written 2:3 or 2/3.

Order matters

Flour to sugar (2:3) is not the same as sugar to flour (3:2). Always write the parts in the order the problem names them.

Equivalent ratios

Multiply or divide both parts of a ratio by the same number to get an equivalent ratio that describes the same comparison.

Worked example

Are 2:3 and 8:12 equivalent?

  1. →Multiply both parts of 2:3 by 4.
  2. →2 × 4 = 8 and 3 × 4 = 12, so 2:3 → 8:12.
  3. →Yes — they are equivalent.
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 2 · Watch

Video walkthrough

Watch the main video, then check the second take if you want another explanation.

Math Antics

Ratios & Rates

What a ratio is and how it shows up in everyday comparisons.

Watch on YouTube
Khan Academy

Introduction to Ratios

Another walk-through of writing a ratio to compare two quantities.

Watch on YouTube
αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
Step 3 · Practice

Practice

Try a worksheet or work through some problems before the quiz.

Math Worksheets 4 Kids

Ratio worksheets

Open resource
πΣ√≠≤+αβΔπΣx²θ÷+
Step 4 · Check

Quick check

A couple of questions to make sure this topic stuck. Retake as many times as you want.

What Is a Ratio?

Question 1 of 3

Easy

Write the ratio of 5 dogs to 8 cats.

αAπΣ∞∂θ√x²≠∫÷≤%+½αβΔ
←Back toUnit 2 overview→Next up · Topic 2 of 3Unit Rates