Fractions
Visual fraction addition
Use equal-part models to see why adding fractions with a shared denominator combines their numerators.
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Add fractions with the same denominator
Add like fractional units within one whole, simplify the total and recognize when the sum makes exactly one.
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Check that the denominators match. Add the numerators, keep the shared denominator and simplify. If the numerator equals the denominator, write the sum as one whole.
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What this activity builds
Add numerators over a shared denominator and interpret a resulting fraction whose value is at most one.
Worked example
Find 3/8 + 1/8.
4/8 = 1/2.
Three eighths and one eighth make four eighths. Dividing both parts of 4/8 by 4 gives 1/2, so the sum occupies half of one whole.
Teaching notes
Make the practice count
- Estimate whether the answer will be below or equal to one before calculating.
- Separate the addition step from the simplification step so each can be checked.
- Use fraction models again if keeping the denominator appears to be a memorized rule without meaning.
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