If the decimal is not-repeating, take everything that's to the right of the decimal place. In your case, it would be 125. If you remember learning about the names of the decimal spots, you'd know that the first digit to the right of the period is in the tenths place, the second one is the hundredths place, and the third one is the thousandths place. So your decimal is read as 125 thousandths.

To turn that into a fraction, simply put 125 over 1000, to get 125/1000.

You can reduce that fraction. To me, it seems that both numbers are divisible by 5, so I divide each number by five to get 25/200. Again, it seems that each number is divisible by 5, so I divide each number by 5 to get 5/40. Once more, it looks like each number is divisible by 5, so I divide each number by 5 to get 1/8.

And that's how you turn .125 into 1/8. I could have also seen that both 125 and 1000 are divisible by 125, divided each number by 125, and gotten the same result.

Now you try. What is the fraction equivalent to .65?

Ah, I get it now, thanks!

If I am right, the fraction equivalent to .65 is 65/100, reduced it will turn out as 13/20.

Exactly, good job.

Hey, how would you turn the following into fractions:

0.66666666...

0.833333333...

and how would you change 1 1/2 into 3/2 or is it 2/3?

Repeating fractions are somewhat more difficult. I'll try and look around to find an online set of directions.

As for turning 1&1/2 into 3/2, it's actually pretty simple. As you probably know, a fraction is made of a numerator part & denominator part, where the numerator is the top value and the denominator is the bottom. In this case, you have a mixed fraction, which also has what is called the integer (or whole number) part. To go from a mixed fraction like 1&1/2 to an improper like 3/2, simply multiply the integer times the denominator and add that result to the numerator. Thus, you multiply the integer (1) times the denominator (2) and get 2. You then add that to the numerator (1) to get 3.

That's your new numerator. You then simply put that on top of the old denominator, giving us 3/2.

It may help you to realize that 1 is equal to 2/2. Thus, since 1&1/2 is equal to 1 + 1/2, you're really just adding 2/2 + 1/2

Got it? Try turning 2&1/4 into an improper fraction while I look for a repeating decimal article.

Here's an article that goes pretty in depth:

http://mathforum.org/library/drmath/view/61579.html

pers nally, I've found it really helpful to memorize a few of the most common repeating decimals. Try memorizing the decimal versions of 1/3, 1/6, 1/7, 1/9, and 1/11. Once you memorize them, you can use addition and multiplication to find other common ones (like 5/6 and 4/7).

For repeating decimals in which there is complete repetition, like .6666666... or .232323232323..., isolate the part that repeats. For my second example, it would be 23. Instead of dividing by 100 like I had you do last time, divide by 99 (since there are two digits in 23 you use two digits of 9). This makes 23/99, which gives you the repeating decimal of .23232323...

For .6666..., it would be 6/9, which can be reduced to 2/3.

I don't know of a simple method of a way to figure out the fraction expression of a repeating decimal in which not all of the decimal repeats (like .833333...). But like DeWayne said, if you memorize some of the more basic fractions like 1/2 through 1/10, you can probably figure out the multiples of those.

You can use this equation to turn REPEATING decimals into fractions.

n=0.33 100n=33.33

100n=33.33

- n= .33

----------- 99n=33

99n/99=33/99

Simplify:

11 33

It's pretty self-explanatory (it may take a while to understand to others).

Hope I helped.

Ugh, didn't come out the way I wanted it to.

What about Sirds (that are irrational) like 1/47 = 0.021276595...? How would you work that out?