Question

How do you write the fraction `2/3` as a decimal?

Answer 1

`0.bar(6)`

Explanation:

If we put in a calculator `2/3` and convert it into fraction, it would display `0.6666...` with infinite sixes.

We could also write it as `0.bar(6)`.

Answer 2

`=0.67`

Explanation:

To convert a fraction into decimal, just take the number on top which we called the numerator and divide it by the number at the bottom which we called the denominator.

`2/3 = 0.67`

Answer 3

`2div3 = 0.6666666...` which can be given as `0.dot6 or 0.bar6`

Rounding gives `0.67 or 0.667` etc

Explanation:

To change a fraction into a decimal, you treat it as a division.

`3/4` means `3 div 4`

`" "4|ul(3.0^(2)0)`
`color(white)(xxxx)0.75`

The working is:

`3 div 4 =0` bring down the decimal point,
`30 div 4 = 7` carry the remainder of 2 to make `20`
`20 div4 =5`

However, sometimes you get a recurring decimal.
`2/3 = 2div3` is such a case.

`" "3|ul(2.0^(2)0^(2)0^(2)0^(2)0)`
`color(white)(xxxx)0.6color(white)(.)6color(white)(.)6color(white)(.)6color(white)(.)6 ....`

The working is:

`2div3 =0` bring down the decimal point.
`20div3=6` and carry the remainder `2` to make `20`
`20div3=6` and carry the remainder `2` to make `20`
`20div3=6` and carry the remainder `2` to make `20`
`20div3=6` and carry the remainder `2` to make `20`
etc...

This gives the recurring decimal `0.6666666....`
It can be written as `0.dot6" " or 0.bar6` but is often rounded to one, two or three decimal places, depending on the level of accuracy required.

`2/3 ~~ 0.7 ~~0.67 ~0.667`