Question

What is 50 divided by 18?

Answer 1

In whole number arithmetic:

`50/18 = 2` with remainder `14`

Otherwise:

`25/9`, `" "2 7/9" "` or `" "2.777... = 2.bar(7)`

Explanation:

If you are talking about whole number arithmetic then:

`50 / 18 = 2" "` with remainder `14`

As an "improper" fraction:

`50/18 = (color(red)(cancel(color(black)(2)))xx25)/(color(red)(cancel(color(black)(2)))xx9) = 25/9`

As a mixed fraction:

`50/18 = (36+14)/18 = 36/18 + 14/18 = 2+7/9 = 2 7/9`

To find a decimal representation, use long division:

`color(white)(1080")")underline(color(white)(000)2color(black)(.)7color(white)(0)7color(white)(0)7color(white)(0)...)`
`1color(white)(0)8color(white)(0)")"color(white)(0)5color(white)(0)0color(black)(.)0color(white)(0)0color(white)(0)0color(white)(0)...`
`color(white)(1080")"0)underline(3color(white)(0)6`
`color(white)(1080")"0)1color(white)(0)4color(white)(.)0`
`color(white)(1080")"0)underline(1color(white)(0)2color(white)(.)6)`
`color(white)(1080")"000)1color(white)(.)4color(white)(0)0`
`color(white)(1080")"000)underline(1color(white)(.)2color(white)(0)6)`
`color(white)(1080")"0000)color(white)(.)1color(white)(0)4color(white)(0)0`
`color(white)(1080")"0000)color(white)(.)underline(1color(white)(0)2color(white)(0)6)`
`color(white)(1080")"0000)color(white)(.)color(white)(00)1color(white)(0)4`

The remainder starts to repeat, and so does the quotient.

So:

`50/18 = 2.777... = 2.bar(7)`