How do you write 20/46 as a decimal?

1 Answer
Apr 23, 2018

#10/23 = 0.bar(4347826086956521739130)#

Explanation:

To find the exact decimal representation long divide #10# by #23# until the remainder repeats since:

#20/46 = (color(red)(cancel(color(black)(2))) * 10) / (color(red)(cancel(color(black)(2))) * 23) = 10/23#

Once the remainder repeats, the quotient will too.

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So we find:

#20/46 = 10/23 = 0.bar(4347826086956521739130)#