Question

Covert 77 1/2% to a fraction in lowest term

Answer 1

$77\frac{1}{2} \%$ converted to fraction in lowest terms is $\frac{31}{40}$

Solution:

Given that we have to convert $77\frac{1}{2} \%$ to fraction in lowest terms

Let us first convert the mixed fraction $77\frac{1}{2}$

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,

$77\frac{1}{2} \% = \frac{77 \times 2+1}{2} \% = \frac{155}{2} \%$

$\frac{155}{2} \% = 77.5 \%$

Now convert 77.5 % to fraction

So we have to convert percentage to fraction

Divide the percentage by 100 to get a decimal number

$77.5 \% = \frac{77.5}{100} = 0.775$

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 $10^x$

$0.775 = \frac{0.775}{1} \times \frac{1000}{1000} = \frac{775}{1000}$

Simplify and reduce the fraction to lowest terms

$\rightarrow \frac{775}{1000} = \frac{31}{40}$

Thus the given percentage is converted to fraction in lowest terms