If the decimal stops like 0.24, then the numerator is simply the number without a decimal in it, in this case 24. The denominator is a 1 followed by the proper number of zeros. How far does the decimal have to move to get to the end of the number? In this case, two places, so the denominator is 100.
24/100 = 0.24
However, this is not a simplified (reduced) fraction. 24/100 = 12/50 = 6/25
More examples:
5.377 = 5377/1000 because there are three places after the decimal
1.5 = 15/10 (but should be simplified!)
0.05 = 5/100
0.0019 = 19/10000
Get the picture?
Now if the decimal repeats, as in 0.333333..... it is a bit more complicated, but I don't think that you are worried about those at this point in time.
2007-06-11 05:18:54
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answer #1
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answered by math guy 6
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Your subject got cut off, but I'll assume it is the obvious question on how you convert a decimal to a fraction.
For a finite length decimal, it is straightforward. I'll show with an example
0.375
0.375 / 1 is a bad form for it, but is a fraction.
An equivalent fraction can be made by multiplying by 10/10, bring int to 3.75 / 10. You can easily see that if you do that twice more you have a proper fraction 375/1000. Basically, put the number ignoring the decimal places in the numerator and then put a one followed by a number of zeros equal to the number of places to the right of the decimal place in your original number in the denominator.
Now you have a fraction, 375/1000 for this example. Write the prime factorizations of the numerator and denominator.
375 = 3x5x5x5
1000 = 2x2x2x5x5x5
We can eliminate a common factor of 5x5x5=125 from the numerator and denominator, giving:
3/(2x2x2) = 3/8, the simplest fraction form.
There are things we can do similarly for repeating decimal numbers, but you probably don't need to worry about them right now I suspect.
2007-06-11 12:19:06
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answer #2
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answered by jcsuperstar714 4
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I know that 0.125=1/8 0.25=1/4 0.375=3/8 0.5=1/2
0.0625=1/16 0.03125=1/32 0.015625=1/64 but i still cant figure it out how you figure it out . Added it at a later time .
i might of cracked it. What ever your fraction is write it over the top of a 1 and for all the numbers after the decimal point add zeros to the 1.Then divide top and bottom by a same number to make it smaller.EG.0.125/1000divide by5=25/200again divide by 5=5/40 again divide by 5=1/8.Do not use the whole number in the calculation add it to the fraction at the end EG 1.25 is 25/100 again divide by 25=1/4 add the whole number 1 1/4 .
Ive cheated slight by using easy fractions but i hope it helps .
2007-06-11 12:33:52
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answer #3
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answered by mark the spark 4
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You convert it to their place value and then reduce the fraction. For example:
.2 = 2/10 = 1/5
.34 = 34/100 = 17/50
one decimal place is called "tenths"
two decimal places = hundredths
three decimal places = thousandths
etc.
2007-06-11 12:19:17
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answer #4
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answered by Kathleen K 7
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If you have the decimal like this 0.25
To convert to a fraction 0.25 = 25/100 = 1/4
example: . . . . 0.36 = 36/100 = 9/25
. . . . . . . . 0.344 = 344/1000 = 43/125
. . . . . . 0.2345 = 2345/10000 = 469/200
. . . . . . . 0.3333 . . . .3 without limit = 3/9 = 1/3
. . . . . . . 0.4444 . . .4 with out limit = 4/9
. . . . . . 0.27272. . . 7 with out limit = 27/99 = 3/11
. . . . . . . 0.123123 . . 3 with out limit = 123/999 = 41/333
2007-06-11 12:22:56
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answer #5
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answered by CPUcate 6
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Some examples might help:-
0.35 = 35/100 = 7/20
0.8 = 8/10 = 4 / 5
0.46 = 46/100 = 23/50
0 .125 = 125/1000 = 25/200 = 5/40 = 1/8
0.75 = 75 / 100 = 3 / 4
Hope these give you a start.
2007-06-11 12:19:11
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answer #6
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answered by Como 7
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Decimals to fractions is easier.
Move the decimal two places right and put the thing over 100.
Of course, you want to use feasible numbers, and reduce the fraction.
2007-06-11 12:17:54
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answer #7
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answered by Anonymous
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to do this you must for eg 0.5 =1/2 /0.25=1/4
2007-06-11 12:49:37
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answer #8
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answered by Anonymous
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