How do you convert 7/15 to a decimal?

Question

28092 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2018-05-06T07:54:05

#7/15 = 0.4bar(6)#

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 · 2018-05-06T08:01:09

#0.4dot6#

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