Word problems
Subtracting mixed numbers word problems
Find differences between mixed-number measurements, including regrouping across a whole. Select denominator relationships and optional irrelevant information.
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Subtracting fractions word problems
Compare fractional measurements and find what remains. Choose common, different or mixed denominators and irrelevant-information options for ten questions.
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Read the story, identify the requested quantity and show your reasoning. Include the correct unit in your answer.
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Read, model, calculate, check
Ask learners to identify what is known and what the question asks. A drawing, timeline or equation can make the relationship visible before they calculate. Check the answer against the original story and keep its unit.
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Learning objective
What this activity builds
Find a positive difference between fractional amounts with a common unit.
Worked example
A route is 5/6 kilometre long. Sam has walked 1/4 kilometre. How far remains?
5/6 − 1/4 = 10/12 − 3/12 = 7/12 kilometre.
The walked distance is part of the entire route. Subtract it from the full distance.
Teaching notes
Make the practice count
- Check which measurement is the total and which is a part.
- Estimate whether the remaining amount should be small or large.
- Keep the unit on the final answer.
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Related activities
Word problems
Adding fractions word problems
Combine two or three fractional measurements in ten stories. Select common, different or mixed denominators and optional extra information.
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