QuestionJune 7, 2025

Evaluate. -(5)/(8)-(-(1)/(6)) Write your answer in simplest form. square

Evaluate. -(5)/(8)-(-(1)/(6)) Write your answer in simplest form. square
Evaluate.
-(5)/(8)-(-(1)/(6))
Write your answer in simplest form.
square

Solution
4.4(288 votes)

Answer

-\frac{11}{24} Explanation 1. Simplify the expression The expression is -\frac{5}{8} - (-\frac{1}{6}). Simplifying gives -\frac{5}{8} + \frac{1}{6}. 2. Find a common denominator The least common denominator of 8 and 6 is 24. 3. Convert fractions to have a common denominator Convert -\frac{5}{8} to -\frac{15}{24} and \frac{1}{6} to \frac{4}{24}. 4. Add the fractions -\frac{15}{24} + \frac{4}{24} = -\frac{11}{24}.

Explanation

1. Simplify the expression<br /> The expression is $-\frac{5}{8} - (-\frac{1}{6})$. Simplifying gives $-\frac{5}{8} + \frac{1}{6}$.<br /><br />2. Find a common denominator<br /> The least common denominator of 8 and 6 is 24.<br /><br />3. Convert fractions to have a common denominator<br /> Convert $-\frac{5}{8}$ to $-\frac{15}{24}$ and $\frac{1}{6}$ to $\frac{4}{24}$.<br /><br />4. Add the fractions<br /> $-\frac{15}{24} + \frac{4}{24} = -\frac{11}{24}$.
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