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

I’m coming up with 8.67 over 27. It is suppose to be a fraction Can you help.-example-1
User Dagvl
by
8.1k points

1 Answer

3 votes

Answer:

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

User Iker Solozabal
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