PEAZIT Aha card
Go straight to resources ↓Compare fractions using equal-sized pieces
Numerators can be compared directly only when they count equal-sized pieces of the same whole.
| Expression | Meaning |
|---|---|
| 2/3 = 10/15 | Multiply numerator and denominator by 5. |
| 3/5 = 9/15 | Multiply numerator and denominator by 3. |
| 2/3 > 3/5 | Ten fifteenths exceeds nine fifteenths. |
One worked example
- 2/3 = 10/15Multiply numerator and denominator by 5.
- 3/5 = 9/15Multiply numerator and denominator by 3.
- 2/3 > 3/5Ten fifteenths exceeds nine fifteenths.
Watch out: The fractions must refer to the same whole. Half a large pizza need not be less than three quarters of a small one.
Goal, prerequisites and card origin
What you will learn: Compare two positive fractions using a common denominator.
What you need first: Numerator, denominator and equivalent fractions.
An original PEAZIT working card. Independent expert review and effectiveness testing have not yet taken place. · v1
Show connections
Numerators can be compared directly only when they count equal-sized pieces of the same whole.