Question

How do you write 20/46 as a decimal?

Answer 1

`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.

So we find:

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