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the claim

Adding fractions is done by adding numerators and denominators.

the verdict
REFUTED
the evidence says no
Recorded sources
0 sources for · 7 against

Counts group repeated records of the same source within each side. They do not measure evidence strength or source independence.

Is it true that adding fractions is done by adding numerators and denominators?

No. Multiple reference and educational sources state that fractions are added by first finding a common denominator and then adding only the numerators, and one article explicitly identifies 'add the numerators and add the denominators' as a student error.

Verdict: REFUTED · 0 sources for, 7 against · Last checked

The private library was unavailable for some searches in this check. Missing library results are not evidence against the claim.

Evidence against · 7
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Fraction. (n.d.). en.wikipedia.org. https://en.wikipedia.org/wiki/Fraction

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More against · 6
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Is there an operator for adding the numerator and.... (n.d.). math.stackexchange.com. https://math.stackexchange.com/questions/1011484/is-there-an-operator-for-adding-the-numerator-and-denominator-of-a-fraction-sepa

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A Guide to the GRE/Fractions. (n.d.). en.wikibooks.org. https://en.wikibooks.org/wiki/A_Guide_to_the_GRE/Fractions

2024
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Poluakan, C., Ratulangi, N., & Wantu, M. (2024). Implementation of the Problem-Based Learning Model in Teaching of Mathematics about Adding Fractions with Different Denominators in Elementary Schools. doi.org. https://doi.org/10.62711/ijite.v3i2.174

2025
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Shingphachanh, S., Vilavongsa, S., Viengthala, S., Dalavong, B., & Phatkomkham, S. (2025). Pre-Service Kindergarten Teachers’ Mathematical Thinking on Adding Fractions with the Like and Unlike Denominators at Khangkhay Teacher Training College. doi.org. https://doi.org/10.71026/jlste.067

1991
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Addition of Fractions—the Unrecognized Problem. (1991). doi.org. https://doi.org/10.5951/mt.84.9.0710

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Basic Math for Adults/Fractions. (n.d.). en.wikibooks.org. https://en.wikibooks.org/wiki/Basic_Math_for_Adults/Fractions

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