Question

I’m coming up with 8.67 over 27. It is suppose to be a fraction Can you help.

Answer 1

289/900

Step-by-step explanation:

The given expression is

`(-(1)/(3)+0.3(-(1)/(3))+1)^2`

First, we know that 0.3(-1/3) = (3/10)(-1/3) = -1/10, therefore the expression is equal to

`\begin{gathered} (-(1)/(3)+(3)/(10)(-(1)/(3))+1)^2 \\ \\ (-(1)/(3)-(1)/(10)+1)^2 \end{gathered}`

Now, we need to add the fractions, so

`\begin{gathered} (-(1)/(3)-(1)/(10)+(10)/(10))^2 \\ \\ (-(1)/(3)+(-1+10)/(10))^2 \\ \\ (-(1)/(3)+(9)/(10))^2 \\ \\ ((-1(10)+3(9))/(3(10)))^2 \\ \\ ((-10+27)/(30))^2 \\ \\ ((17)/(30))^2 \end{gathered}`

Finally, find the square of the fraction

`\begin{gathered} ((17^2)/(30^2)) \\ \\ (289)/(900) \end{gathered}`

Therefore, the answer is 289/900