Question

How do you convert 2 3/4 into a percent and decimal?

Answer 1

As a decimal `2/75`
As a percentage `275`

Explanation:

`color(blue)("Determine "2 3/4" as a percentage")`

In percentages all of something is `100% ->100/100`

So `2 3/4` is the same as `100/100+100/100+3/4`

`color(brown)("................... Consider the following .......................")`
`color(brown)("To be able to add these directly we need "3/4 -> ?/100)`

`color(brown)("Multiply by 1 but in the form of "1=25/25)`

`color(brown)(3/4xx25/25" "=" "(3xx25)/(4xx25)" "=" "75/100)`
`color(brown)("............................................................................")`

`100/100+100/100+3/4" "->" "100/100+100/100+75/100`

`color(blue)(=275/100" which can also be written as "275%)`
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

`color(blue)("Determine "2 3/4" as a percentage")`

It is worth memorising that `3/4` as a decimal is `0.75`

So `color(blue)(2+3/4 = 2+0.75 = 2.75)`