Fractions
Convert mixed numbers and improper fractions
Rename quantities greater than one as a mixed number or a single improper fraction without changing their value.
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Add mixed numbers
Combine whole-number and fractional parts, renaming fractional totals that make an additional whole.
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Use a common denominator for the fractional parts. Add the whole parts and fractional parts, then regroup any complete whole in the fractional total. Converting both mixed numbers to improper fractions is another valid method.
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What this activity builds
Add mixed numbers without losing the relationship between their whole and fractional parts.
Worked example
Find 2 3/5 + 1 3/4.
4 7/20.
The fractional parts become 12/20 and 15/20, totaling 27/20 or 1 7/20. The original whole parts total 3; adding the regrouped whole gives 4 7/20.
Teaching notes
Make the practice count
- Estimate the whole-number portion before doing the fraction calculation.
- Record the extra whole from the fractional sum explicitly.
- Compare the whole-plus-fraction method with an improper-fraction method on the same example.
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