The Life Starter
Sign up
Grade 6 · unit review

Review: Complete Division Algorithms and Find Common Structure

Divide fractions and larger whole or decimal values and reason about GCF and LCM.

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. Find the full quotient (2/3)÷(5/6).
Need a hint?
  • Take the reciprocal of the divisor, not the dividend.
  • A full fractional quotient and a count of complete pieces are different requests.
2. Calculate 2835÷27.
Need a hint?
  • Keep one quotient place for each required place in the process.
  • A missing zero can shift a correct final digit into the wrong place.
3. Calculate 10.56 ÷ 0.32.
Need a hint?
  • Choose a method for the actual operation, not one decimal rule for every calculation.
  • In division, scale both the dividend and divisor by the same factor.
4. Find the GCF of 30 and 45.
Need a hint?
  • Name factor or multiple before making a list.
  • GCF and LCM cannot be interchanged even when the target numbers are identical.

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

A 3/4-unit strip is cut into 2/5-unit lengths. Determine how many such lengths fit as a quotient, then distinguish complete lengths.

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

  • Show the supplied quantities or shape attributes in a labeled model.
  • Explain each operation or classification using this unit’s definitions.
  • Check the result against the supplied situation.
Compare with a model response

(3/4)÷(2/5)=(3/4)(5/2)=15/8=1 7/8. One complete 2/5-unit length fits, with part of another; the mathematical quotient measures lengths including the fractional remainder.

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