ALTA Education
Cuisenaire Task Library
Improper Fractions to Mixed Numbers
Your turn — Regroup into wholes
Write each improper fraction as a mixed number or whole number.
Predict first. Then use the rods to model and check your answer.
Choose a suitable rod to represent one whole, build the numerator using unit-fraction parts, then replace each complete group with a whole.
- 5⁄2
- 7⁄3
- 7⁄4
- 8⁄2
- 9⁄4
- 11⁄5
For at least two examples, record what the rods show using colour letters as well as numbers.
Be ready to explain: what does the quotient represent? What does the remainder represent?
Answers
- 5⁄2 = 2½
- 7⁄3 = 2⅓
- 7⁄4 = 1¾
- 8⁄2 = 4
- 9⁄4 = 2¼
- 11⁄5 = 2⅕
Useful whole rods: red for halves, light green for thirds, pink for quarters and yellow for fifths. With these choices, white represents the unit fraction.