Question

4 Find 1 2/3 +(-2 1/2)-2. Show your work. Answer: show your work here

Answer 1

-2 5/6 or -17 /6

1) Let's evaluate that expression, but first, we must turn those mixed number into improper fractions

`\begin{gathered} 1(2)/(3)=((3\cdot1+2))/(3)=(5)/(3) \\ -2(1)/(2)=(-(2\cdot2+1))/(2)=(-5)/(2) \end{gathered}`

2) So now, let's add algebraically, add positive and negative numbers.

`\begin{gathered} (5)/(3)-(5)/(2)-2 \\ \text{Calculate the Least Common Multiple of 1,2,3,} \\ (10)/(6)-(15)/(6)-(12)/(6)=(-17)/(6)\text{ or -2 }(5)/(6) \end{gathered}`

3) So the answer is -17/6 or turning back to mixed number -2 5/6.