Dividing in a Given Ratio
When we divide in a given ratio, we split a quantity into parts according to specific proportions. This is like sharing fairly, but not equally — each person gets a share based on the ratio.
What Does It Mean?
Imagine you have 100 som to divide between two friends in the ratio 2:3.
- The first friend gets 2 shares
- The second friend gets 3 shares
- Total: 5 shares altogether
Key Idea: The ratio tells us how many "parts" or "shares" each person receives, not the actual amount!
Visual: Ratio 2:3
Interactive visualization — available in the full lesson
The Main Method: 3 Simple Steps
Step 1
Add the Ratio Terms
Find the total number of parts
2 + 3 = 5 parts
Step 2
Find One Part
Divide the quantity by total parts
100 ÷ 5 = 20 som
Step 3
Multiply
Multiply one part by each ratio term
2 × 20 = 40
3 × 20 = 60
3 × 20 = 60