Find the difference. Write fractions in simplest form
$- \frac{1}{2} - (- \frac{5}{9})$

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Solution

Given, $- \frac{1}{2} - (- \frac{5}{9})$
$\Rightarrow - \frac{1}{2} - (- \frac{5}{9}) \Rightarrow - \frac{1}{2} + \frac{5}{9} \Rightarrow - \frac{1 \times 9}{2 \times 9} + \frac{5 \times 2}{9 \times 2} \Rightarrow - \frac{9}{18} + \frac{10}{18} \Rightarrow \frac{1}{18}$

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