QuestionDecember 16, 2025

Simplify. (frac (9)/(2)-6)(1+(7)/(6)) square

Simplify. (frac (9)/(2)-6)(1+(7)/(6)) square
Simplify. (frac (9)/(2)-6)(1+(7)/(6)) square

Solution
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Answer

-\frac{9}{13} Explanation 1. Simplify the numerator \frac{9}{2} - 6 = \frac{9}{2} - \frac{12}{2} = \frac{-3}{2} 2. Simplify the denominator 1 + \frac{7}{6} = \frac{6}{6} + \frac{7}{6} = \frac{13}{6} 3. Divide numerator by denominator \frac{-3/2}{13/6} = \frac{-3}{2} \times \frac{6}{13} = \frac{-18}{26} = \frac{-9}{13}

Explanation

1. Simplify the numerator <br /> $ \frac{9}{2} - 6 = \frac{9}{2} - \frac{12}{2} = \frac{-3}{2} $ <br />2. Simplify the denominator <br /> $ 1 + \frac{7}{6} = \frac{6}{6} + \frac{7}{6} = \frac{13}{6} $ <br />3. Divide numerator by denominator <br /> $ \frac{-3/2}{13/6} = \frac{-3}{2} \times \frac{6}{13} = \frac{-18}{26} = \frac{-9}{13} $
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