The Life Starter
Sign up
Grade 5 · unit review

Review: Use Fractions for Sharing and Scaling

Interpret whole-number division, resize quantities, multiply mixed numbers, and divide unit fractions into equal shares.

Download reviews and answer keys

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.

Unit review questions
1. Share 6 whole strips equally among 5 people. What fraction of a strip does each receive?
Need a hint?
  • The numerator counts supplied wholes and denominator counts equal recipients.
  • A share can exceed one whole when there are more wholes than recipients.
2. For positive quantity 9, compare 9×3/2 with 9.
Need a hint?
  • Compare the multiplier with one before computing.
  • Multiplication by a positive fraction below one makes a positive quantity smaller.
3. A rectangle has sides 5 1/2 units and 1 1/3 units. What is its area in square units?
Need a hint?
  • A whole equals denominator-many fractional parts when renaming.
  • Do not multiply whole parts and fraction parts separately while ignoring their cross-products.
4. Share 1/6 of a whole equally among 3 people. What fraction of the original whole does each receive?
Need a hint?
  • Keep the original whole as the fraction reference.
  • The share is smaller than the starting unit fraction, not three times larger.

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

Share three whole strips equally among four people, then find half of a 1 1/2-unit strip.

Work on paper or in your own document. Explain the choices you made.

  • Draw or label the numbers or shape features the task gives you.
  • Say why each calculation or shape choice follows the ideas in this unit.
  • Check that your answer fits the story or drawing in the task.
Compare with a model response

Three strips shared four ways give 3/4 strip each, since four shares reconstruct three. Half of 1 1/2 is (1/2)(3/2)=3/4. The same value arises from two different supplied situations.

A different response can also meet the criteria. Compare the evidence and reasoning, rather than copying the wording.