how do you turn a decimal into a fraction?

Answer 1

Fraction to Decimal Conversion
Fraction to Decimal Conversion Tables
Important Note: any span of numbers that is underlined signifies that those numbes are repeated. For example, 0.09 signifies 0.090909....
Only fractions in lowest terms are listed. For instance, to find 2/8, first simplify it to 1/4 then search for it in the table below.
fraction = decimal
1/1 = 1
1/2 = 0.5
1/3 = 0.3 2/3 = 0.6
1/4 = 0.25 3/4 = 0.75
1/5 = 0.2 2/5 = 0.4 3/5 = 0.6 4/5 = 0.8
1/6 = 0.16 5/6 = 0.83
1/7 = 0.142857 2/7 = 0.285714 3/7 = 0.428571 4/7 = 0.571428
5/7 = 0.714285 6/7 = 0.857142
1/8 = 0.125 3/8 = 0.375 5/8 = 0.625 7/8 = 0.875
1/9 = 0.1 2/9 = 0.2 4/9 = 0.4 5/9 = 0.5
7/9 = 0.7 8/9 = 0.8
1/10 = 0.1 3/10 = 0.3 7/10 = 0.7 9/10 = 0.9
1/11 = 0.09 2/11 = 0.18 3/11 = 0.27 4/11 = 0.36
5/11 = 0.45 6/11 = 0.54 7/11 = 0.63
8/11 = 0.72 9/11 = 0.81 10/11 = 0.90
1/12 = 0.083 5/12 = 0.416 7/12 = 0.583 11/12 = 0.916
1/16 = 0.0625 3/16 = 0.1875 5/16 = 0.3125 7/16 = 0.4375
11/16 = 0.6875 13/16 = 0.8125 15/16 = 0.9375
1/32 = 0.03125 3/32 = 0.09375 5/32 = 0.15625 7/32 = 0.21875
9/32 = 0.28125 11/32 = 0.34375 13/32 = 0.40625
15/32 = 0.46875 17/32 = 0.53125 19/32 = 0.59375
21/32 = 0.65625 23/32 = 0.71875 25/32 = 0.78125
27/32 = 0.84375 29/32 = 0.90625 31/32 = 0.96875


Need to convert a repeating decimal to a fraction? Follow these examples:
Note the following pattern for repeating decimals:
0.22222222... = 2/9
0.54545454... = 54/99
0.298298298... = 298/999
Division by 9's causes the repeating pattern.

Note the pattern if zeros preceed the repeating decimal:
0.022222222... = 2/90
0.00054545454... = 54/99000
0.00298298298... = 298/99900
Adding zero's to the denominator adds zero's before the repeating decimal.

To convert a decimal that begins with a non-repeating part, such as 0.21456456456456456..., to a fraction, write it as the sum of the non-repeating part and the repeating part.
0.21 + 0.00456456456456456...
Next, convert each of these decimals to fractions. The first decimal has a divisor of power ten. The second decimal (which repeats) is convirted according to the pattern given above.
21/100 + 456/99900
Now add these fraction by expressing both with a common divisor
20979/99900 + 456/99900
and add.
21435/99900
Finally simplify it to lowest terms
1429/6660
and check on your calculator or with long division.
= 0.2145645645...

Answer 2

A decimal is always an amount over 10, 100, or 1000, etc. (.1 is 1/10th, .57 is 57/100ths.) Once you have the amount over 10, 100, whatever, just divide top and bottom by its common denominator to the smallest fraction. (i.e. .6 goes to 6/10. both are divisible by 2, so the fraction is 3/5ths.) Hope that helps. There should be a math text onlile to look at.

Answer 3

It depends on how many numbers there are after the decimal point, and if it's a repeating decimal or not.
If the decimal is NOT a repeating decimal, you take the number after the decimal point, and you divide it by one - followed by a number of zeroes. The number of zeroes should equal the number of places after the decimal point.
So for instance, if you have 1.256897, you would have 1 and 256897/1000000 (six zeroes because there are six numbers after the decimal point.)

Answer 4

count the number of digits after the point
then write the fraction as the digits after the point divided by a 1 followed by that number of zeros
then simplify the fraction

example: 0.25 = 25/100 which simplifies to 1/4
another: 0.67915 = 67915/100000 which simplifies but i can't be bothered lol

Answer 5

Decimals are just fractions in disguise. If you have .3, it's the same as 3/10. If you have .567, it's the same as 567/1000. (Give me best answer ; ) )

Answer 6

if it is like .3 you would make it into 3/10
if it is like .24 you would make it into 24/100
if it was .233 you would make it into 233/1000
just put it over with one more zero than how ever many decimal places it is. Easy!

Answer 7

move your decimal all the way over to the right, then put that number over 10, 100, 1000, and so on depending on the number value.
EX))
.26 ... = 26/100
.888 ... = 888/1000
.6 ... = 6/10

Sorry I couldn't Explain better

Answer 8

take the decimal and put it over 100 and if it can be simpified, (i.e., 25/100 or 1/4)do so.

Answer 9

Divide the numerator (ex .25) into the denomintor (1.00) equals 1/4. Another example>>(numerator is .50) into the denominator (1.00) = 1/2! And so forth et cetra.....get it??

Answer 10

turn the decimal into a hundredth and then simplify from there.