[tex]77\frac{1}{2} \%[/tex] converted to fraction in lowest terms is [tex]\frac{31}{40}[/tex]
Solution:
Given that we have to convert [tex]77\frac{1}{2} \%[/tex] to fraction in lowest terms
Let us first convert the mixed fraction [tex]77\frac{1}{2}[/tex]
Multiply the whole number part by the fraction's denominator.
Add that to the numerator.
Then write the result on top of the denominator.
Therefore,
[tex]77\frac{1}{2} \% = \frac{77 \times 2+1}{2} \% = \frac{155}{2} \%[/tex]
[tex]\frac{155}{2} \% = 77.5 \%[/tex]
Now convert 77.5 % to fraction
So we have to convert percentage to fraction
Divide the percentage by 100 to get a decimal number
[tex]77.5 \% = \frac{77.5}{100} = 0.775[/tex]
Use that decimal number as the numerator of a fraction. Put a 1 in the denominator of the fraction
Count the number of places to the right of the decimal. If you have x decimal places then multiply numerator and denominator by [tex]10^x[/tex]
[tex]0.775 = \frac{0.775}{1} \times \frac{1000}{1000} = \frac{775}{1000}[/tex]
Simplify and reduce the fraction to lowest terms
[tex]\rightarrow \frac{775}{1000} = \frac{31}{40}[/tex]
Thus the given percentage is converted to fraction in lowest terms
