Adding Fractions with Like Denominators
Adding fractions with like denominators means combining parts that are already the same size. When the denominators match, the fractions represent equal pieces of a whole, so they can be added directly without rewriting.
How It Works
Confirm matching denominators
Confirm the denominators match.
$$
\frac{a}{b} \text{ and } \frac{c}{b}
$$
Add the numerators
Add the numerators.
$$
a + c
$$
Keep the denominator the same
Keep the denominator unchanged.
$$
\frac{a+c}{b}
$$
Try These Examples
Add. $$ $$ Add. $$ $$ Add. $$ $$
\frac{3}{7} + \frac{2}{7}
$$
\frac{5}{7}
$$
\frac{4}{9} + \frac{3}{9}
$$
\frac{7}{9}
$$
\frac{7}{6} + \frac{5}{6}
$$
\frac{12}{6}
$$
Watch Out
Common Mistake
Some students add both the numerators and the denominators when the fractions already have matching denominators.
Incorrect:
$$
\frac{2}{5} + \frac{3}{5} = \frac{5}{10}
$$
Some students add both the numerators and the denominators when the fractions already have matching denominators.
Incorrect:
$$
\frac{2}{5} + \frac{3}{5} = \frac{5}{10}
$$
Keep Practicing
Try these related worksheets to build fluency and confidence.
Multiply by 12 Facts Practice Worksheet
Multiply by 11 Facts Practice Worksheet
Multiply by 10 Facts Practice Worksheet
