PEAZIT Aha card
Go straight to resources ↓Sharing in a ratio: count all parts first
A ratio of 2 : 3 assigns two equal units to the first part and three to the second. The whole has 2 + 3 = 5 units.
| Expression | Meaning |
|---|---|
| 2 + 3 = 5 | Five equal parts in total. |
| 40 ÷ 5 = 8 | Each part contains eight objects. |
| 2 × 8 = 16; 3 × 8 = 24 | Adding both shares returns the total 40. |
One worked example
- 2 + 3 = 5Five equal parts in total.
- 40 ÷ 5 = 8Each part contains eight objects.
- 2 × 8 = 16; 3 × 8 = 24Adding both shares returns the total 40.
Watch out: The ratio order must match the share order. For indivisible objects, not every total and ratio gives whole-number shares.
Goal, prerequisites and card origin
What you will learn: Split a total into two parts in a stated ratio.
What you need first: Equal sharing and multiplication.
An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1
Show connections
A ratio of 2 : 3 assigns two equal units to the first part and three to the second. The whole has 2 + 3 = 5 units.