[tex]\bold{\dfrac{2}{3}}[/tex] can be expressed as [tex]\bold{66\frac{2}{3}\%}[/tex].
Fraction
A fraction is a way to describe a part of a whole. such as the fraction [tex]\bold{\dfrac{1}{4}}[/tex]
, etc.
Mixed Fraction
A mixed fraction is a fraction that contains a whole number and a fraction whose denominator is greater than the numerator. such as
[tex]\bold3\dfrac{1}{4}, 2\dfrac{2}{5}}[/tex], etc.
Percentage
A percentage is also a way to describe a part of a whole. such as the fraction [tex]\bold{\dfrac{1}{4}}[/tex] can be described as 0.25 which is equal to 25%.
Given to us,
[tex]\bold{\dfrac{2}{3}}[/tex]
we know,
[tex]\bold{\dfrac{2}{3}=0.\overline6}[/tex]
To change a decimal to a percentage we just need to multiply the decimal by 100,
[tex]\bold{0.\overline6 \times 100 = 66.\overline6\%}[/tex]
[tex]\bold{66.\overline6\% = (66 +0.\overline6)\%}[/tex]
As already discussed,
[tex]\bold{\dfrac{2}{3}=0.\overline6}[/tex]
therefore,
[tex]\bold{(66 +0.\overline6)\% = (66+\frac{2}{3})\%=66\frac{2}{3}\%}[/tex]
Hence, [tex]\bold{\dfrac{2}{3}}[/tex] can be expressed as [tex]\bold{66\frac{2}{3}\%}[/tex].
Learn more about Percentages:
https://brainly.com/question/6269728
