Add the following fractions. 2/15

+ 1/3
Provide the answer in the form of a fraction.

1 answer

To add the fractions \( \frac{2}{15} \) and \( \frac{1}{3} \), you first need a common denominator. The denominators here are 15 and 3. The least common multiple of these is 15.

Next, convert \( \frac{1}{3} \) to an equivalent fraction with a denominator of 15.

\[ \frac{1}{3} = \frac{1 \times 5}{3 \times 5} = \frac{5}{15} \]

Now you can add the two fractions:

\[ \frac{2}{15} + \frac{5}{15} = \frac{2 + 5}{15} = \frac{7}{15} \]

Thus, the sum of the fractions \( \frac{2}{15} + \frac{1}{3} \) is

\[ \frac{7}{15} \]

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