Question

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

Answer 1

116 % as fraction is
`(29)/(25)` and as mixed number is
`1(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 \% = (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 = (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 (1.16)/(1) = (1.16)/(1) * (100)/(100) = (116)/(100)`

Step 4:

Reduce the fraction to lowest terms

Here we canceled numerator and denominator using 4

`(116)/(100) = (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,

`(29)/(25) = 1(4)/(25)`

Thus the given percent 116 % as fraction is
`(29)/(25)` and as mixed number is
`1(4)/(25)`