97.5k views
2 votes
What percent is equivalent to 2/3

66 1/3

66 3/5

66 2/3

66 7/10

User Saltycrane
by
5.2k points

2 Answers

1 vote

Answer:

66 2/3

Explanation:

(2/3)(100) = 66 2/3

User Rahulbmv
by
5.2k points
5 votes


\huge\text{Hey there!}


\huge\textbf{Question reads....}


\large\textbf{What percent is equivalent to }\rm{\bf (2)/(3)}\large\textbf{ ?}


\huge\textbf{Let's simplify the current fraction}\\\huge\textbf{to find the overall result to this question.}


\mathbf{(2)/(3)}


\mathbf{= 2/3}


\mathbf{= 0.66666667}


\mathbf{= 0.66666667 * 100}


\mathbf{= 66.6666667\%}


\mathbf{\approx 66.67\%}


\huge\textbf{Let's do process of elimination to find}\\\huge\textbf{the fraction that is equivalent to yours.}


\huge\textsf{Option A.}


\mathbf{66 (1)/(3)}


\mathbf{= (66*3+1)/(3)}


\mathbf{= (198 +1)/(3)}


\mathbf{= (199)/(3)}


\mathbf{= 199/3}


\mathbf{= 66.3333333}


\mathbf{= 66.3333333 *100}


\mathbf{= 6,633.33333\%}


\mathbf{\approx 6,633.33\%}


\huge\textsf{This eliminates Option A. as your result.}


\huge\textsf{Option B.}


\mathbf{66 (3)/(5)}


\mathbf{= (66*5 + 3)/(5)}


\mathbf{= (330 + 3)/(5)}


\mathbf{= (333)/(5)}


\mathbf{= 333/5}


\mathbf{= 66.6}


\mathbf{= 66.6 * 100}


\mathbf{= 6,660}


\mathbf{\approx 6,660\%}


\huge\textsf{This eliminates Option B. as your result.}


\huge\textsf{Option C.}


\mathbf{66 (2)/(3)}


\mathbf{= (66*3+2)/(3)}


\mathbf{= (198 + 2)/(3)}


\mathbf{= (200)/(3)}


\mathbf{= 200/3}


\mathbf{= 66.6666667}


\mathbf{= 66.6666667*100}


\mathbf{= 6,666.66667}


\mathbf{\approx 6,666.67\%}


\huge\textsf{This eliminates Option C. as your result.}


\huge\textsf{Option D.}


\mathbf{66(7)/(10)}


\mathbf{= (66*10 +7)/(10)}


\mathbf{= (660 + 7)/(10)}


\mathbf{= (667)/(10)}


\mathbf{= 667/10}


\mathbf{= 6.67}


\mathbf{= 6.67*100}


\mathbf{= 6,670}


\mathbf{\approx 6,670\%}


\huge\textsf{This eliminates Option D. as your result.}


\huge\textbf{It seems like none of the above matches }\\\huge\textbf{the original fraction, so we will use the}\\\huge\textbf{that is close to the original answer.}


\huge\textbf{The closest answer was:}


\mathbf{66 (2)/(3)}


\huge\textbf{Therefore the answer MIGHT be:}


\huge\boxed{\mathsf{Option\ C. \ 66 (2)/(3)}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}

~
\frak{Amphitrite1040:)}

User Budgw
by
5.8k points