Step 1
convert mixed number to an improper fraction
[tex]46\frac{2}{3}\%= \frac{46*3+2}{3}= \frac{140}{3}\%[/tex]
Step 2
we know that
[tex]28[/tex] represent the [tex]100\%[/tex]
so
by proportion find the [tex]\frac{140}{3}\%[/tex]
[tex]\frac{28}{100}= \frac{x}{(140/3)} \\\\100*x=28*(140/3) \\ \\x=\frac{28}{100} \frac{140}{3} \\ \\x=13.0666[/tex]
Convert to a mixed number
[tex]13.0666..=13+0.066..=13+\frac{2}{30}=13\frac{2}{30}=13\frac{1}{15}[/tex]
therefore
the answer is
[tex]13\frac{1}{15}[/tex]
