Add and subtract fractions with the same denominator, simplifying and converting sums greater than 1.
When two fractions share a denominator, the pieces are already the same size, so just add or subtract the numerators and keep the denominator exactly the same. Never add or subtract the denominators themselves.
If the resulting numerator is bigger than the denominator, the answer is more than one whole; convert it to a mixed number. Always check afterward whether the answer can be simplified.
Mastery looks like: They add and subtract fractions with like denominators accurately, converting sums greater than 1 to mixed numbers and simplifying when possible.
Common stumbles: Adding the denominators along with the numerators; forgetting to convert an improper fraction result into a mixed number; leaving an answer unsimplified.
See it visually
Interactive, spoken-aloud tools that show this idea in motion.