Introduction to Ratios
Learn what a ratio means, how to divide quantities using ratios. Let’s get started! 🚀
Video Lesson
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🛎️ What Is a Ratio?
- A ratio compares quantities and is written as a : b.
- The order matters (apples : bananas = 2 : 3, but bananas : apples = 3 : 2).
🛎️ Working with Ratio 5:2
- A ratio of 5 : 2 means for every 5 parts of flour, there are 2 parts of sugar.
- To find one part, divide 300 g by 5 to get 60 g per part.
- Multiply 60 g by 2 to get 120 g of sugar needed.
🛎️ Sharing a Whole in a Ratio
- Add the numbers in the ratio to find the total parts. For example, 7:3 means 7 + 3 = 10 parts.
- Each part = total amount ÷ total parts. For example, £200 total divided by 10 parts = £20 per part.
- One person gets 7 parts, so £20 × 7 = £140. The other person gets 3 parts, so £20 × 3 = £60.
🛎️ Simplifying and Expanding Ratios
- To simplify, divide every part by the same number. For example, 24:40 can be simplified by dividing both by 8 to get 3:5.
- To expand, multiply every part by the same number. For example, 3:7 can be expanded by multiplying both by 5 to get 15:35.
Practice Questions
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Interactive Activity
Simplifying and expanding ratios
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