Answer:
39/125
Explanation:
You must first convert 0.312 to an equivalent fraction.
To do this, identify to which place the fraction terminates (how many numbers past the decimal are there).
In this case, the fraction goes to the thousandth place. So multiply by
1000/1000 (1000/1000 = 1, so we aren't changing the value)
0.312 (1000/1000) = 312/1000
Now we want to reduce the fraction as much as possible.
Since 312 and 1000 are both even, we can at least factor out a 2 from each...
156/500 (312/2 = 156 and 1000/2 = 500)
Divide by 2 again since they are both even...
78/250 (156/2 = 78 and 500/2 = 250)
Divide by 2 again since they are both even...
39/125 (78/2 = 39 and 250/2 = 125)
There are no more common factors, so this is the final answer.