Introduction to Ratios
Learn what a ratio means and how to simplify, expand, and divide quantities using ratios. Let’s get started! 🚀

Video Lesson
Watch and learn the basics

Flashcards
Review key concepts visually
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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
Test your understanding
Simplify the ratio to its simplest form.
Correct! 🎉 +10 pointsNot quite right
Dividing both numbers by their greatest common factor 6. Then and , resulting in .
If the ratio of apples to oranges is , how would you write the ratio of oranges to apples?
Correct! 🎉 +10 pointsNot quite right
The ratio of oranges to apples is simply the reverse of the ratio of apples to oranges, which is .
If £300 is split between two people in a ratio of , how much does the first person receive?
Correct! 🎉 +20 pointsNot quite right
Dividing £300 by 5 gives £60 per part, and then multiply by 3: .
The ratio of pencils to pens in a box is . If there are 40 items in total, how many pencils are there?
Correct! 🎉 +20 pointsNot quite right
The ratio of pencils to pens is , so the total ratio of parts is . To find the number of pencils, calculate .
The ratio of red to blue marbles is . If there are 36 red marbles, how many blue marbles are there?
Correct! 🎉 +20 pointsNot quite right
The ratio of red to blue marbles is . If 4 parts equal 36, each part is . So the blue marbles are .
The ratio of adults to children at an event is . If there are 150 adults, how many people are there in total?
Correct! 🎉 +30 pointsNot quite right
If 5 parts equal 150 adults, each part is . The total is 8 parts, so .
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Interactive Activity
Simplifying and expanding ratios by finding equivalent forms
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