Question

Find (4x+3/4)+(-3x-5/12)

Answer 1

x + 1/3

Step-by-step explanation:

The initial expression is:

`(4x+(3)/(4))+(-3x-(5)/(12))`

So, we can rewrite the expression as:

`\begin{gathered} 4x+(3)/(4)-3x-(5)/(12) \\ 4x-3x+(3)/(4)-(5)/(12) \end{gathered}`

Then, we can add similar terms, so:

`\begin{gathered} (4x-3x)+((3)/(4)-(5)/(12))_{} \\ x+(1)/(3) \end{gathered}`

Where the fraction 1/3 is calculated using the following equation:

`(3)/(4)-(5)/(12)=((3*12)-(4*5))/((4*12))=(36-20)/(48)=(16)/(48)=(1)/(3)`

Therefore, the answer is:

x + 1/3