Lesson 10 of 14
Share a whole in many parts
Show on a big screenThree friends share ₹4,500 in the ratio 4 : 3 : 2. How much does each get?
Drag the slider to change the whole. Watch the three shares.
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Step 1 of 4
- One bar stands for ₹4,500.
- Cut it into 4 + 3 + 2 = 9 equal parts.
- One part is ₹4,500 ÷ 9 = ₹500.
- The shares are ₹2,000, ₹1,500 and ₹1,000.
The rule
The friends get ₹2,000, ₹1,500 and ₹1,000. The whole is the full amount, ₹4,500. It is cut into equal parts. Each term is a number of those parts. Together the terms make 4 + 3 + 2 = 9 parts. That total is the sum.
Rule: Add the terms. Divide the whole by that sum. Multiply each term by the answer.
| Whole | Ratio | Parts | One part | Shares |
|---|---|---|---|---|
| ₹4,500 | 4 : 3 : 2 | 9 | ₹500 | ₹2,000, ₹1,500, ₹1,000 |
| 72 m | 1 : 2 : 3 | 6 | 12 m | 12 m, 24 m, 36 m |
| ₹1,000 | 1 : 1 : 2 : 6 | 10 | ₹100 | ₹100, ₹100, ₹200, ₹600 |
The shares use every part, so they add back to the whole. 12 + 24 + 36 = 72.
Try the lab to finish this lesson.