QuestionAugust 25, 2025

-(5)/(6)-(3)/(4)-(-(7)/(3))=

-(5)/(6)-(3)/(4)-(-(7)/(3))=
-(5)/(6)-(3)/(4)-(-(7)/(3))=

Solution
3.0(239 votes)

Answer

\( \frac{3}{4} \) Explanation 1. Simplify the expression Convert subtraction of a negative to addition: \( -\frac{5}{6} - \frac{3}{4} + \frac{7}{3} \). 2. Find a common denominator The least common multiple of 6, 4, and 3 is 12. 3. Convert fractions to have the common denominator \( -\frac{5}{6} = -\frac{10}{12} \), \( -\frac{3}{4} = -\frac{9}{12} \), \( \frac{7}{3} = \frac{28}{12} \). 4. Add/Subtract the fractions \( -\frac{10}{12} - \frac{9}{12} + \frac{28}{12} = \frac{9}{12} \). 5. Simplify the result Simplify \( \frac{9}{12} \) to \( \frac{3}{4} \).

Explanation

1. Simplify the expression<br /> Convert subtraction of a negative to addition: \( -\frac{5}{6} - \frac{3}{4} + \frac{7}{3} \).<br /><br />2. Find a common denominator<br /> The least common multiple of 6, 4, and 3 is 12.<br /><br />3. Convert fractions to have the common denominator<br /> \( -\frac{5}{6} = -\frac{10}{12} \), \( -\frac{3}{4} = -\frac{9}{12} \), \( \frac{7}{3} = \frac{28}{12} \).<br /><br />4. Add/Subtract the fractions<br /> \( -\frac{10}{12} - \frac{9}{12} + \frac{28}{12} = \frac{9}{12} \).<br /><br />5. Simplify the result<br /> Simplify \( \frac{9}{12} \) to \( \frac{3}{4} \).
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