Question

( - \frac{5}{6} ) - ( - \frac{1}{4} ) + ( - 1 \times \frac{1}{3} ) \div ( - 2)(−65​)−(−41​)+(−1×31​)÷(−2​

Answer 1

The answer is
`=(154233)/(2340)`.

Explanation:

Given:

`( - (5)/(6) ) - ( - (1)/(4) ) + ( - 1 * (1)/(3) ) / ( - 2)(-65)-(-41)+(-1* 31)/(-2)`.

Now, to solve:

So, we solve by using PEMDAS rule:

`( - (5)/(6) ) - ( - (1)/(4) ) + ( - 1 * (1)/(3) ) / ( - 2)(-65)-(-41)+(-1* 31)/(-2)`

Now, the parenthesis:

⇒
`( - (5)/(6) ) - ( - (1)/(4) ) + ((-1)/(3) ) / ( - 2)(-65)-(-41)+(-31)/(-2)`

Then, the multiplication and division:

⇒
`( - (5)/(6) ) - ( - (1)/(4) ) + ( (-1)/(3) ) / (130)-(-41)+(-31)/(-2)`

⇒
`(- (5)/(6) ) - ( - (1)/(4) ) + ( (-1)/(390))-(-41)+(-31)/(2)`

So, then addition and subtraction:

⇒
`- (5)/(6) +(1)/(4)-(1)/(390)+41-(31)/(2)`

`=(154233)/(2340)`.

Therefore ,the answer is
`=(154233)/(2340)`.