Question

How do you convert 7/15 to a decimal?

Answer 1

`7/15 = 0.4bar(6)`

Explanation:

I would normally do this by just long dividing `7` by `15`. Long division allows you to convert any fraction into its decimal representation.

Let's try another method:

Decompose `7/15` into a difference of fractions whose representations we already know:

`7/15 = 10/15 - 3/15 = 2/3 - 1/5 = 0.bar(6) - 0.2 = 0.4bar(6)`

Answer 2

`0.4dot6`

Explanation:

If you can change the fraction to an equivalent fraction over 100 then the numerator becomes your decimal. E.g. `3/25=12/100=0.12`

If it doesn't multiply to 100 like this one doesn't then you have to divide.

0.466666`dot6`, 0.46666667 or 0.47 depending on how you round it