Fractions
Add fractions with common denominators
Rename fractions as equivalent amounts with a common denominator before finding and simplifying their sum.
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Add three fractions
Coordinate three equivalent-fraction conversions and combine all three addends using one common denominator.
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Choose a denominator that works for all three fractions. Rename each addend, add the three numerators and simplify. Keep every original addend visible while checking the conversion.
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Customize this worksheetLearning objective
What this activity builds
Keep track of three operands while converting them to a shared unit and adding their numerators accurately.
Worked example
Find 1/2 + 2/3 + 3/4.
6/12 + 8/12 + 9/12 = 23/12 = 1 11/12.
Twelve can represent halves, thirds and fourths. The numerators 6, 8 and 9 count the same-sized parts, so their sum is 23. The result is just below two wholes.
Teaching notes
Make the practice count
- Check all three denominators before choosing the common unit.
- Use a short row for each equivalent fraction so an addend is not accidentally skipped.
- Estimate the sum using familiar benchmarks such as one-half and one whole.
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Three-fraction addition or subtraction practice
Choose a three-term addition or subtraction lesson and keep the common-unit method consistent with the selected operation.
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