How do you convert 8/17 into a percent and decimal?

Question

Eva Adamson · Accepted Answer

Decimal representation is a periodic decimal fraction:

#8/17 = 0.47058823529411764705882352941176...#
with period #4705882352941176#

As an approximate percentage,

#8/17 ~~ 47.06%# First of all, you have to convert it into decimal by actually dividing #8# by #17# (in this case the result is periodic decimal fraction, so we can do it only approximately): #8/17 = 0.47058823529411764705882352941176...# As you see, #4705882352941176# is a period that is repeated infinite number of times. So, you may express it using [...] to signify a period as #8/17 = 0.[4705882352941176]# Next, you have to decide about precision since it's not practical to carry too many digits. Assume, you decide that for your calculations it is sufficient to have a precision of #0.0001#. Then you round the above number to #0.4706#. Notice that the fourth digit after a decimal point #5# is rounded up to #6# because the following digit is #8#. Lastly, to convert a decimal fraction into percentage, you just multiply it by #100#, effectively shifting the decimal point two places to the right: #0.4706 = 47.06%#.

Isaiah Anthony · Answer

undefined To convert $ \frac{8}{17} $ into a percent, multiply by 100:

$ \frac{8}{17} \times 100 = 47.05882353\% $

To convert $ \frac{8}{17} $ into a decimal, simply divide 8 by 17:

$ \frac{8}{17} \approx 0.4706 $