To simplify the expression \( \frac{5}{16} + \left(-\frac{7}{16}\right) \):
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Combine the fractions since they have the same denominator: \[ \frac{5 + (-7)}{16} = \frac{5 - 7}{16} = \frac{-2}{16} \]
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Simplify \( \frac{-2}{16} \): \[ \frac{-2 \div 2}{16 \div 2} = \frac{-1}{8} \]
Thus, the fraction in simplest form is \( \frac{-1}{8} \).