Posted by **Fred** on Sunday, October 27, 2013 at 1:36pm.

How do I convert this decimal into a fraction?

3.083 (The last 3 is repeating by itself)

- Math -
**Ms. Sue**, Sunday, October 27, 2013 at 1:38pm
1 8333/1000

- Math -
**Fred**, Sunday, October 27, 2013 at 1:42pm
How did you do it? :)

- Math -
**Reiny**, Sunday, October 27, 2013 at 1:43pm
so you have 3.0833333....

quick way

= 3 + .083333...

= 3 + (83-8)/900

= 3 + 75/900

= 3 + 1/12

= 37/12

check by dividing 37 by 12 = 3.083333...

- Math -
**Fred**, Sunday, October 27, 2013 at 1:44pm
Thanks so much #yolo

- long way - Math -
**Reiny**, Sunday, October 27, 2013 at 1:46pm
let x = 3.0833333..

times 10

10x = 30.833333...

x = 3.083333..

subtract them:

9x = 27.75

x = 27.75/9 = 2775/900 = 37/12

- short way - Math -
**Steve**, Sunday, October 27, 2013 at 5:13pm
we all know that 1/12 = 0.083333

So, we have 3 1/12 = 37/12

we do all know common fractions as decimals, don't we? :-)

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