Question

What percent is equivalent to 2/3

66 1/3

66 3/5

66 2/3

66 7/10

Answer 1

Answer:

66 2/3

Step-by-step explanation:

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

Answer 2

$\huge\text{Hey there!}$

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

$\large\textbf{What percent is equivalent to }\rm{\bf \dfrac{2}{3}}\large\textbf{ ?}$

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

$\mathbf{\dfrac{2}{3}}$

$\mathbf{= 2\div3}$

$\mathbf{= 0.66666667}$

$\mathbf{= 0.66666667 \times 100}$

$\mathbf{= 66.6666667\%}$

$\mathbf{\approx 66.67\%}$

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

$\huge\textsf{Option A.}$

$\mathbf{66 \dfrac{1}{3}}$

$\mathbf{= \dfrac{66\times3+1}{3}}$

$\mathbf{= \dfrac{198 +1}{3}}$

$\mathbf{= \dfrac{199}{3}}$

$\mathbf{= 199\div3}$

$\mathbf{= 66.3333333}$

$\mathbf{= 66.3333333 \times100}$

$\mathbf{= 6,633.33333\%}$

$\mathbf{\approx 6,633.33\%}$

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

$\huge\textsf{Option B.}$

$\mathbf{66 \dfrac{3}{5}}$

$\mathbf{= \dfrac{66\times5 + 3}{5}}$

$\mathbf{= \dfrac{330 + 3}{5}}$

$\mathbf{= \dfrac{333}{5}}$

$\mathbf{= 333\div5}$

$\mathbf{= 66.6}$

$\mathbf{= 66.6 \times 100}$

$\mathbf{= 6,660}$

$\mathbf{\approx 6,660\%}$

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

$\huge\textsf{Option C.}$

$\mathbf{66 \dfrac{2}{3}}$

$\mathbf{= \dfrac{66\times3+2}{3}}$

$\mathbf{= \dfrac{198 + 2}{3}}$

$\mathbf{= \dfrac{200}{3}}$

$\mathbf{= 200\div3}$

$\mathbf{= 66.6666667}$

$\mathbf{= 66.6666667\times100}$

$\mathbf{= 6,666.66667}$

$\mathbf{\approx 6,666.67\%}$

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

$\huge\textsf{Option D.}$

$\mathbf{66\dfrac{7}{10}}$

$\mathbf{= \dfrac{66\times10 +7}{10}}$

$\mathbf{= \dfrac{660 + 7}{10}}$

$\mathbf{= \dfrac{667}{10}}$

$\mathbf{= 667\div10}$

$\mathbf{= 6.67}$

$\mathbf{= 6.67\times100}$

$\mathbf{= 6,670}$

$\mathbf{\approx 6,670\%}$

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

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

$\huge\textbf{The closest answer was:}$

$\mathbf{66 \dfrac{2}{3}}$

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

$\huge\boxed{\mathsf{Option\ C. \ 66 \dfrac{2}{3}}}\huge\checkmark$

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

~$\frak{Amphitrite1040:)}$