To subtract the fractions \(\frac{4}{5} - \frac{2}{3}\), we first need to find a common denominator. The denominators are 5 and 3. The least common multiple (LCM) of 5 and 3 is 15.
Next, we convert both fractions to have the common denominator of 15:
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Convert \(\frac{4}{5}\): \[ \frac{4}{5} = \frac{4 \times 3}{5 \times 3} = \frac{12}{15} \]
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Convert \(\frac{2}{3}\): \[ \frac{2}{3} = \frac{2 \times 5}{3 \times 5} = \frac{10}{15} \]
Now we can subtract the two fractions: \[ \frac{12}{15} - \frac{10}{15} = \frac{12 - 10}{15} = \frac{2}{15} \]
The answer in simplest form is \(\frac{2}{15}\).
The numerator is \(2\).
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