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:
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For \( \frac{2}{3} \): \[ \frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15} \]
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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: \[ [7]/[15] \]
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