Question

Subtract, answer as a fraction in simplest form.
2/3 - 1/5
[__]/[__]

Answer 1

To subtract the fractions \( \frac{2}{3} \) and \( \frac{1}{5} \), we first need to find a common denominator.

The denominators are 3 and 5. The least common multiple (LCM) of 3 and 5 is 15.

Now we will convert each fraction to an equivalent fraction with a denominator of 15:

1. For \( \frac{2}{3} \):
\[
\frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15}
\]

2. For \( \frac{1}{5} \):
\[
\frac{1}{5} = \frac{1 \times 3}{5 \times 3} = \frac{3}{15}
\]

Now we can perform the subtraction:
\[
\frac{10}{15} - \frac{3}{15} = \frac{10 - 3}{15} = \frac{7}{15}
\]

So, the answer is:
\[
\frac{7}{15}
\]

In the format requested, the answer is:
\[
[7]/[15]
\]