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 + (838)/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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