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Mathematics · Grade 5

Add and Subtract Unlike Fractions

Learners see why fractions must be cut into same-size pieces before they can be added or subtracted, then use equivalent fractions to add and subtract unlike fractions and mixed numbers, including regrouping. Benchmark estimates (0, 1/2 and 1) are used to catch unreasonable answers in recipes, hikes and building projects.

  • 4 lessons
  • About 85 minutes
  • Unlike fractions check: 10 questions
  • Ways to answer: choose an answer, type a fraction, match pairs, place on a number line, put in order and sort into groups
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What learners will discover

  • Explain why adding or subtracting fractions needs same-size parts (a common denominator), using fraction bars and number lines.
  • Add and subtract fractions with unlike denominators by replacing them with equivalent fractions.
  • Add and subtract mixed numbers with unlike denominators, regrouping a whole when needed.
  • Estimate with benchmark fractions to judge reasonableness and solve word problems with unlike fractions.

Lessons

  1. Same-size pieces first 8 steps4 practiceabout 20 min
  2. Unlike denominators, step by step 8 steps5 practiceabout 20 min
  3. Mixed numbers and regrouping 7 steps4 practiceabout 22 min
  4. Estimate and solve 7 steps4 practiceabout 23 min
  5. Unlike fractions check 10 questions at the end

Keep exploring

Games to practice with

  • Number-Line HopHelp the frog hop to the right number — from counting to negative fractions.
  • Array OrchardPlant trees in rows, pack fruit into crates and split big fields to multiply.
  • Fraction BridgesSaw planks into equal parts, paint fractions, build bridges that match and lay planks end to end to add.

More 5th grade math

Guide for grown-ups