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Grade 4 · Mathematics · Number

Equivalent fractions

What they’re learning

Your child is learning that two fractions can name the same amount even when the numbers look different. The important idea is the size of the whole and how many equal parts it has been divided into.

Explain it to my child

One half and two quarters are the same amount. If we cut the same sandwich into 2 equal pieces and take 1, or cut it into 4 equal pieces and take 2, we still have the same amount of sandwich.

Try it together

Fold a sheet of paper in half and shade one half. Fold another same-sized sheet into four equal parts and shade two. Place them side by side. Repeat with 1/3 and 2/6 if comfortable.

Practice

  1. Which is equivalent to 1/2: 2/4 or 2/3?
  2. Fill in the blank: 1/3 = __/6.
  3. Are 3/4 and 6/8 equivalent?
  4. Draw two different fraction models that both show one half.
  5. Which is larger: 2/4 or 3/4?

Check understanding

  • Can your child explain why 1/2 and 2/4 are the same amount?
  • Can they decide whether two simple fractions are equivalent using a picture or model?
Parent answer guide
  1. 2/4
    Two quarters cover the same amount as one half.
  2. 2
    Each third is split into two sixths.
  3. Yes
    Both name three quarters of the same whole.
  4. Answers will vary; both models should show the same half of equal-sized wholes.
    Focus on equal-sized wholes.
  5. 3/4
    The denominators match, so compare numerators.

Ontario curriculum connection

Grade 4 · Mathematics
Number · Fractions

Curriculum expectation: Specific expectation omitted because Lessonfield has not yet verified an expectation-level mapping for this guide.

Ontario Curriculum, Mathematics, Grades 1–8 (2020) ↗

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