To solve \( \frac{5}{7} - \frac{2}{3} \), we need to find a common denominator.
The denominators are 7 and 3. The least common multiple (LCM) of 7 and 3 is 21.
Now we convert each fraction:
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Convert \( \frac{5}{7} \) to have a denominator of 21: \[ \frac{5}{7} = \frac{5 \times 3}{7 \times 3} = \frac{15}{21} \]
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Convert \( \frac{2}{3} \) to have a denominator of 21: \[ \frac{2}{3} = \frac{2 \times 7}{3 \times 7} = \frac{14}{21} \]
Now, we can subtract the two fractions: \[ \frac{15}{21} - \frac{14}{21} = \frac{15 - 14}{21} = \frac{1}{21} \]
Thus, the answer can be written as: \[ 0 \quad 1/21 \]
The format requested is \([] []/[__]\), so the final answer is: \[ 0 \quad 1/21 \]
To summarize: \( \frac{5}{7} - \frac{2}{3} = 0 \quad \frac{1}{21} \)