Answer:
The answer is [tex]=\frac{154233}{2340}[/tex].
Step-by-step explanation:
Given:
[tex]( - \frac{5}{6} ) - ( - \frac{1}{4} ) + ( - 1 \times \frac{1}{3} ) \div ( - 2)(-65)-(-41)+(-1\times 31)\div(-2)[/tex].
Now, to solve:
So, we solve by using PEMDAS rule:
[tex]( - \frac{5}{6} ) - ( - \frac{1}{4} ) + ( - 1 \times \frac{1}{3} ) \div ( - 2)(-65)-(-41)+(-1\times 31)\div(-2)[/tex]
Now, the parenthesis:
⇒ [tex]( - \frac{5}{6} ) - ( - \frac{1}{4} ) + (\frac{-1}{3} ) \div ( - 2)(-65)-(-41)+(-31)\div(-2)[/tex]
Then, the multiplication and division:
⇒ [tex]( - \frac{5}{6} ) - ( - \frac{1}{4} ) + ( \frac{-1}{3} ) \div (130)-(-41)+(-31)\div(-2)[/tex]
⇒ [tex](- \frac{5}{6} ) - ( - \frac{1}{4} ) + ( \frac{-1}{390})-(-41)+\frac{-31}{2}[/tex]
So, then addition and subtraction:
⇒ [tex]- \frac{5}{6} +\frac{1}{4}-\frac{1}{390}+41-\frac{31}{2}[/tex]
[tex]=\frac{154233}{2340}[/tex].
Therefore ,the answer is [tex]=\frac{154233}{2340}[/tex].