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Grade 4 · unit review

Review: Extend Fractions to Mixed Numbers and Decimals

Operate on mixed numbers and connect tenths and hundredths with decimal notation.

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Unit review questions
1. Find 7 1/4 − 1 3/4. Give an exact fraction (an improper fraction is allowed).
Need a hint?
  • One whole equals denominator-many parts.
  • Reduce the whole-number count when exchanging one whole for parts.
2. Write 40/100 as a decimal.
Need a hint?
  • Count the places after the decimal point.
  • Seven hundredths and seven tenths are different values.
3. Write 6/10 + 7/100 as a decimal.
Need a hint?
  • Convert tenths to hundredths before adding their counts.
  • Keep the common denominator; do not add the denominators.
4. Which decimal is greater, for equal wholes: 0.56 or 0.5?
Need a hint?
  • Use trailing zeros to align equal places.
  • More written decimal digits do not automatically mean a larger number.

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Use the skills in a new task

Find 2 1/4−1 3/4, and express 3/10+8/100 as a decimal.

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

Rename 2 1/4 as 1 5/4; subtract 1 3/4 to get 2/4=1/2. For the decimal sum, 3/10=30/100, so the total is 38/100=0.38.

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