How do you convert 0.628 (28 being repeated) to a fraction?

Question

1795 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-03-16T04:43:13

#311/495#

We first let 0.628 be #x#.

Since #x# is recurring in 2 decimal places, we multiply it by 100.

#100x = 62.828#

Next, we subtract them.

#100x - x = 62.828 - 0.628#

#99x = 62.2#

Lastly, we divide both sides by 99 to get #x# as a fraction.

#x = 62.2/99#

#= 622/990#

#= 311/495#