Question

What is the decimal form of 6/8?

Answer 1

`6/8=0.75`

Explanation:

To convert a fraction into decimal, one needs to first make the denominator a power of `10`. It is easy if denominator's only prime factors are `2` and `5`. As one can multiply by `5`s and `2`'s to get the same.

Here we have `8=2xx2xx2` so do we need to multiply by `5xx5xx5`. But as `2` is also a factor of numerator, one `2` will cancel out and we need to multiply by `5xx5` only.

Hence `6/8=(cancel2xx3xx5xx5)/(cancel2xx2xx2xx5xx5)`

= `75/100=0.75`