To subtract the fractions \( \frac{5}{8} \) and \( \frac{3}{7} \), we first need to find a common denominator. The denominators are 8 and 7. The least common multiple (LCM) of 8 and 7 is 56.
Next, we convert each fraction to have the common denominator of 56:
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Convert \( \frac{5}{8} \): \[ \frac{5}{8} = \frac{5 \times 7}{8 \times 7} = \frac{35}{56} \]
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Convert \( \frac{3}{7} \): \[ \frac{3}{7} = \frac{3 \times 8}{7 \times 8} = \frac{24}{56} \]
Now we can perform the subtraction: \[ \frac{35}{56} - \frac{24}{56} = \frac{35 - 24}{56} = \frac{11}{56} \]
The result of \( \frac{5}{8} - \frac{3}{7} \) is \( \frac{11}{56} \).
The numerator of the answer in simplest form is \( 11 \).
Thus, the answer is:
\[ \text{Enter the numerator: } 11 \]
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