# How do you change 0.244444444 into a fraction?

##### 2 Answers

Nov 6, 2015

This is the technique also for dealing more difficult ones. You have to decide what to multiply by guided by the repeat cycle.

#### Explanation:

Let

so

(2) - (1)

Nov 6, 2015

Convert into a terminating continued fraction, then simplify to find

#0.2dot(4) = 11/45#

#### Explanation:

Calculate

So our continued fraction looks like

Subtract

So our fraction terminates here in the form:

#0+1/(4+1/11) = 1/(44/11+1/11) = 1/(45/11) = 11/45#