PEAZIT Aha card
Go straight to resources ↓Mixed numbers: turn wholes into equal pieces
2 3/4 means 2 + 3/4. Two wholes are eight quarters; add three more.
| Expression | Meaning |
|---|---|
| 2 = 8/4 | Multiply the whole-number part by the denominator. |
| 8/4 + 3/4 = 11/4 | Add the remaining pieces. |
| 11 = 2 × 4 + 3 | The reverse conversion uses quotient 2 and remainder 3. |
One worked example
- 2 = 8/4Multiply the whole-number part by the denominator.
- 8/4 + 3/4 = 11/4Add the remaining pieces.
- 11 = 2 × 4 + 3The reverse conversion uses quotient 2 and remainder 3.
Watch out: The space in a mixed number denotes addition, not multiplication. For a negative mixed number, write brackets: −(2 + 3/4).
Goal, prerequisites and card origin
What you will learn: Convert a positive mixed number to a fraction and back.
What you need first: Fraction meaning and multiplication.
An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1
Show connections
2 3/4 means 2 + 3/4. Two wholes are eight quarters; add three more.