Respuesta :
116 % as fraction is [tex]\frac{29}{25}[/tex] and as mixed number is [tex]1\frac{4}{25}[/tex]
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
[tex]\rightarrow 116 \% = \frac{116}{100} = 1.16[/tex]
Step 2:
Use that number as the numerator of a fraction. Put 1 in the denominator of the fraction
[tex]\rightarrow 1.16 = \frac{1.16}{1}[/tex]
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 [tex]10^x[/tex]
[tex]\rightarrow \frac{1.16}{1} = \frac{1.16}{1} \times \frac{100}{100} = \frac{116}{100}[/tex]
Step 4:
Reduce the fraction to lowest terms
Here we canceled numerator and denominator using 4
[tex]\frac{116}{100} = \frac{29}{25}[/tex]
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,
[tex]\frac{29}{25} = 1\frac{4}{25}[/tex]
Thus the given percent 116 % as fraction is [tex]\frac{29}{25}[/tex] and as mixed number is [tex]1\frac{4}{25}[/tex]
