QuestionAugust 24, 2025

3. -7(1)/(6)-(-(2)/(3))=underline ( )

3. -7(1)/(6)-(-(2)/(3))=underline ( )
3. -7(1)/(6)-(-(2)/(3))=underline ( )

Solution
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Answer

-\frac{13}{2} Explanation 1. Convert Mixed Number to Improper Fraction -7\frac{1}{6} = -\left(\frac{43}{6}\right). 2. Simplify Double Negative -(-\frac{2}{3}) = \frac{2}{3}. 3. Find Common Denominator The common denominator of 6 and 3 is 6. 4. Convert Fractions \frac{2}{3} = \frac{4}{6}. 5. Subtract Fractions -\frac{43}{6} + \frac{4}{6} = -\frac{39}{6}. 6. Simplify the Result -\frac{39}{6} = -\frac{13}{2}.

Explanation

1. Convert Mixed Number to Improper Fraction<br /> $-7\frac{1}{6} = -\left(\frac{43}{6}\right)$.<br />2. Simplify Double Negative<br /> $-(-\frac{2}{3}) = \frac{2}{3}$.<br />3. Find Common Denominator<br /> The common denominator of 6 and 3 is 6.<br />4. Convert Fractions<br /> $\frac{2}{3} = \frac{4}{6}$.<br />5. Subtract Fractions<br /> $-\frac{43}{6} + \frac{4}{6} = -\frac{39}{6}$.<br />6. Simplify the Result<br /> $-\frac{39}{6} = -\frac{13}{2}$.
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