It is given that Sonia takes 4/5 mile walk everyday.
Consider 4/5 represent the 100%
so using the proportion we can determine which part of her walk she completed once she has walked 3/5 miles.
Find out what percentage represent 3/5
Let
x -----> the percentage that represent 3/5
Then convert to fraction number
[tex]\frac{\frac{4}{5}}{100}=\frac{\frac{3}{5}}{x}[/tex][tex]\frac{4}{500}=\frac{3}{5x}[/tex][tex]x=\frac{3\times500}{20}=75[/tex]Therefore , the value of x in percentage is 75 percent.
Convert into fraction number.
[tex]\frac{75}{100}=\frac{3}{4}[/tex]Hence , she has completed 3/4 of her walk once she has walked 3/5 miles.
