Question

I'm trying to find .580 (only the 80 is repeating in the decimal) rewritten as a simplified fraction. thanks in advance, this one is really tricking me up.

Answer 1

115/198

Explanation:

.580 = .5808080

.5808080 = x

5.808080 = 10x

58.08080 = 100x

580.8080 = 1000x

1000x - 10x = 575

575 = 990x

x = 575/990

Simplify:

575/990 = 115/198

Hope this helps :)

Answer 2

Explanation:

assuming its repeating as .580808080 etc your answer would be 115/198 :)