Question

Add.−145+(−14)+(−15)Enter your answer as a simplified mixed number in the box.

Answer 1

Given the expression:

`-1(4)/(5)+(-(1)/(4))+(-(1)/(5))`

Let's simplify the expression.

Remove the parentheses:

`-1(4)/(5)-(1)/(4)-(1)/(5)`

COnvert the first fraction from mixed fraction to improper fraction:

`-(9)/(5)-(1)/(4)-(1)/(5)`

Now, let's find a common denominator using the Lowest Common Multiple(LCM) of the denominators and evaluate.

LCM of 5, 4, and 5 = 20

Divide the LCM by each denominator and multily by the corresonding numerator.

`\begin{gathered} (-36-5-4)/(20) \\ \\ =(-45)/(20) \\ \\ =-(9)/(4) \\ \\ =-2(1)/(4) \end{gathered}`

ANSWER:

`-2(1)/(4)`