Question

Write 165% as a fraction and as a decimal.

Answer 1

Part a) Write
`165`% as a fraction

we know that

`165`% is equal to

`(165)/(100)`

Simplify the fraction

Divide by
`5` numerator and denominator

`(165)/(100)= ((165)/(5))/((100)/(5)) \\ \\ (165)/(100) =(33)/(20)`

the fraction
`(33)/(20)` is irreducible

therefore

the answer Part a) is

`165`% as a fraction is equal to
`(33)/(20)`

Part b) Write
`165`% as a decimal

we know that

To get the decimal, all we have to do is divide
`33` by
`20`

so

`(33)/(20) =1.65`

therefore

the answer Part b) is

`165`% as a decimal is equal to
`1.65`

Answer 2

Let's start with the fraction! 165% means there are 165 parts per hundred so that can be written like this:


`(165)/(100)`

Let's factor out 5 from the top and bottom:

`(33)/(20)` = 165%

Now all we have to do is actually divide 33 by 20 to get the decimal:


`(33)/(20) = 1.65`

So 165% can be written in fraction form as
`(33)/(20)` and in decimal form as 1.65