Question

Write the percent as a fraction or mixed number.116%

Answer 1

116 % as fraction is $\frac{29}{25}$ and as mixed number is $1\frac{4}{25}$

Solution:

Given that we have to write the given percentage as fraction or mixed number

Given is 116 %

Step 1:

Divide the percentage by 100 to get a decimal number

$\rightarrow 116 \% = \frac{116}{100} = 1.16$

Step 2:

Use that number as the numerator of a fraction. Put 1 in the denominator of the fraction

$\rightarrow 1.16 = \frac{1.16}{1}$

Step 3:

Convert the decimal to a whole number: Count how many places are to the right of the decimal. If you have x decimal places then multiply numerator and denominator by $10^x$

$\rightarrow \frac{1.16}{1} = \frac{1.16}{1} \times \frac{100}{100} = \frac{116}{100}$

Step 4:

Reduce the fraction to lowest terms

Here we canceled numerator and denominator using 4

$\frac{116}{100} = \frac{29}{25}$

In mixed fractions we write as,

When we try to divide 29 by 25

25 times 1 is 25 and remainder is 4.So we can write as,

$\frac{29}{25} = 1\frac{4}{25}$

Thus the given percent 116 % as fraction is $\frac{29}{25}$ and as mixed number is $1\frac{4}{25}$