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Grade 5 · Maths · Lessons
Fraction stories
🥣cup🧃juice🎀ribbon🔍estimate
Fraction stories.
The big ideaSay about how much first. Then cut to one bottom, or multiply across, and check the size.

How it works

Say about how much first. Then cut to one bottom, or multiply across, and check the size.

To add fractions with different bottoms, cut them to the same bottom.

An estimate tells you if your answer is sensible.

Same bottom• 3/4 = 6/8• 1/8 + 6/8Answer• 7/8• a bit less than 1
1/8 + 3/4.

Example 1: Add

  1. Mia pours 1/8 of a cup of flour and then 3/4 of a cup.
  2. 3/4 is 6/8, so 1/8 + 6/8 = 7/8.
  3. She has 7/8 of a cup, a bit less than a cup.

Example 2: Take away

  1. Leo has 5/6 of a liter and drinks 1/12 of a liter.
  2. 5/6 is 10/12, so 10/12 − 1/12 = 9/12.
  3. 9/12 is 3/4 of a liter.

Example 3: Estimate

  1. Ava cuts 1/12 of a meter and 1/4 of a meter.
  2. 1/12 is small and 1/4 is a quarter.
  3. About 1/2 of a meter at most: it's about a third.

Words to know

common bottom
A bottom number both fractions can share.
estimate
A close answer.

Watch out

Try it

  1. 1/2 + 1/4 = ?
  2. 2/3 − 1/6 = ?
  3. Is 1/3 + 1/4 more or less than 1/2?
  4. What do you do before adding fractions with different bottoms?
Answers: 1. 3/4 · 2. 1/2 · 3. more · 4. cut them to the same bottom
For grown-upsCook with fractions of a cup and talk through the adding.
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