Word problems
Adding mixed numbers word problems
Combine whole and fractional measurements in ten contextual problems. Choose denominator relationships, add optional extra data and print an answer key.
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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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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
Subtract a mixed quantity accurately when the fractional part requires regrouping.
Worked example
A rope is 4 1/4 metres long. A piece measuring 3 3/4 metres is removed. How much rope remains?
4 1/4 − 3 3/4 = 3 5/4 − 3 3/4 = 1/2 metre.
Regroup one whole metre as four quarters. Five quarters minus three quarters leaves two quarters.
Teaching notes
Make the practice count
- Compare fractional parts before subtracting.
- Show regrouping on a number line or measurement strip.
- Add the removed amount to the answer to recover the starting length.
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Related activities
Word problems
Dividing fractions word problems
Find how many fractional-sized portions fit in a whole available quantity. Choose proper, improper or mixed-number portion sizes and denominator ranges.
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