Question

How do you write 5/9 as a decimal?

Answer 1

`5/9 = 0.bar5`

Explanation:

The usual approach for writing fractions as decimals is to find an equivalent fraction with a denominator that is a power of 10.

However, this is not always possible if the denominator has a factor of 3, 7, 11, 13 and so on. In this case you simply have to divide the numerator by the denominator.

`5/9 = 5 div 9`

`rarr 9|ul(5.0000000)`
`color(white)(xxxxx)0.555555......`

`5/9 = 0.bar5`

Answer 2

`5/9=0.555555..........`

Explanation:

Let us first write `5` as `5.000000000.....` and
divide by `9`.

As `5` units are equal to `50` one-tenths, it goes `5` times and `5` one-tenths are left. These are equal to `50` one-hundredths and it goes `5` times and `5` one-hundredths are left. This way, it goes on as is seen below.

`ul9|5.00000000000000.......|ul(0.5555....)`
`color(white)(xx)ul(45)`
`color(white)(xxx)50`
`color(white)(xxx)ul(45)`
`color(white)(xxxx)50`
`color(white)(xxxx)ul(45)`
`color(white)(xxxxx)50`
`color(white)(xxxxx)ul(45)`
`color(white)(xxxxxx)5`

Hence `5/9=0.555555..........`