Question

Add the following fractions: 4/15 + 1/3
(1 point)
Responses

53

Answer 1

To add the fractions \( \frac{4}{15} + \frac{1}{3} \), we first need a common denominator.

The denominator of \( \frac{4}{15} \) is 15, and the denominator of \( \frac{1}{3} \) is 3. The least common multiple of 15 and 3 is 15.

Now we can rewrite \( \frac{1}{3} \) with a denominator of 15:

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

Now we can add the fractions:

\[
\frac{4}{15} + \frac{5}{15} = \frac{4 + 5}{15} = \frac{9}{15}
\]

We can simplify \( \frac{9}{15} \) by dividing the numerator and the denominator by their greatest common divisor, which is 3:

\[
\frac{9 \div 3}{15 \div 3} = \frac{3}{5}
\]

Thus, the result of \( \frac{4}{15} + \frac{1}{3} \) is:

\[
\frac{3}{5}
\]