Review: Equivalent Parts for Fraction Reasoning
Use equivalent fractions to compare amounts and count joined or repeated parts.
Bring the unit skills together
Use these 4 new cases to check your reasoning. Choices are temporary and are not saved to an account, sent to staff or recorded as school grades. Download your current review choices before leaving or reloading.
The download contains your current choices and any checked feedback. Keep the separate transfer-task work in your own document; downloading its instructions does not mark it complete.
Use the skills in a new task
Plan pretend paper lengths in meters. Compare 3/4 meter with 5/8 meter by renaming. On a separate strip, join 2/8 meter and 3/8 meter, then remove 1/8 meter. Find the total for three copies of the remaining length. Explain every denominator and give a fraction equivalent to the final total.
Work on paper or in your own document. Explain the choices you made.
- Use 3/4 = 6/8 to conclude 3/4 > 5/8.
- Join 2/8 + 3/8 = 5/8, then remove 1/8 to get 4/8.
- Compute 3 × 4/8 = 12/8 meters.
- Explain that eighth-meter parts keep their size and rename 12/8 as 3/2 or 1 1/2.
Compare with a model response
Three fourths is six eighths, so it is larger than five eighths. The other strip gives 2/8 + 3/8 − 1/8 = 4/8 meter. Three copies give 12/8 meters, equivalent to 3/2 or 1 1/2 meters. The denominators name the part size; they are not added.
A different response can also meet the criteria. Compare the evidence and reasoning, rather than copying the wording.