Decimal to fraction converter ►
Expand the denominator to be a power of 10.
Example #1
3/5 is expanded to 6/10 by multiplying the numerator by 2 and denominator by 2:
3 | = | 3×2 | = | 6 | = | 0.6 |
5 | 5×2 | 10 |
Example #2
3/4 is expanded to 75/100 by multiplying the numerator by 25 and denominator by 25:
3 | = | 3×25 | = | 75 | = | 0.75 |
4 | 4×25 | 100 |
Example #3
5/8 is expanded to 625/1000 by multiplying the numerator by 125 and denominator by 125:
5 | = | 5×125 | = | 625 | = | 0.625 |
8 | 8×125 | 1000 |
Method #2
- Use calculator to divide the fraction's numerator by the denominator.
- For mixed numbers add the integer.
Example #1
2/5 = 2÷5 = 0.4
Example #2
1 2/5 = 1+2÷5 = 1.4
Method #3
Use long division to divide the fraction's numerator by the fraction's denominator.
Example
Calculate 3/4 by long division of 3 divided by 4:
Fraction to decimal conversion table
1/2 | 0.5 |
1/3 | 0.33333333 |
2/3 | 0.66666667 |
1/4 | 0.25 |
2/4 | 0.5 |
3/4 | 0.75 |
1/5 | 0.2 |
2/5 | 0.4 |
3/5 | 0.6 |
4/5 | 0.8 |
1/6 | 0.16666667 |
2/6 | 0.33333333 |
3/6 | 0.5 |
4/6 | 0.66666667 |
5/6 | 0.83333333 |
1/7 | 0.14285714 |
2/7 | 0.28571429 |
3/7 | 0.42857143 |
4/7 | 0.57142858 |
5/7 | 0.71428571 |
6/7 | 0.85714286 |
1/8 | 0.125 |
2/8 | 0.25 |
3/8 | 0.375 |
4/8 | 0.5 |
5/8 | 0.625 |
6/8 | 0.75 |
7/8 | 0.875 |
1/9 | 0.11111111 |
2/9 | 0.22222222 |
3/9 | 0.33333333 |
4/9 | 0.44444444 |
5/9 | 0.55555556 |
6/9 | 0.66666667 |
7/9 | 0.77777778 |
8/9 | 0.88888889 |
1/10 | 0.1 |
2/10 | 0.2 |
3/10 | 0.3 |
4/10 | 0.4 |
5/10 | 0.5 |
6/10 | 0.6 |
7/10 | 0.7 |
8/10 | 0.8 |
9/10 | 0.9 |
1/11 | 0.09090909 |
2/11 | 0.18181818 |
3/11 | 0.27272727 |
4/11 | 0.36363636 |
5/11 | 0.45454545 |
6/11 | 0.54545454 |
7/11 | 0.63636363 |
8/11 | 0.72727272 |
9/11 | 0.81818181 |
10/11 | 0.90909091 |
Decimal to fraction conversion ►
See also
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...
1 3/4 is equal to 1.75 in decimal form. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal.
Fration to Decimal Calculator / Converter
See also:
To convert fractions to decimals and millimeters and vice-versa use this formula:
1 inch = 25.4 mm exactly, so ...
To convert from inch to millimeter multiply inch value by 25.4.
To convert from millimeter inch divide millimeter value by 25.4.
An easier way to do it is to use the table below. How?
Example 1
Convert 1 1/32" to mm:
Find 1 1/32 and read to the right under mm column! You will find 26.1938.
Example 2
Convert 0.875 decimal inches to inches (fraction form).
Look down the decimal column until you find 0.875, then read to the left to find 7/8 inches or move to the right column to find the mm value!
Practical fraction to decimal inches and millimeter conversion chart
1/64 | 0.0156 | 0.3969 |
1/32 | 0.0313 | 0.7938 |
3/64 | 0.0469 | 1.1906 |
1/16 | 0.0625 | 1.5875 |
5/64 | 0.0781 | 1.9844 |
3/32 | 0.0938 | 2.3813 |
7/64 | 0.1094 | 2.7781 |
1/8 | 0.1250 | 3.1750 |
9/64 | 0.1406 | 3.5719 |
5/32 | 0.1563 | 3.9688 |
11/64 | 0.1719 | 4.3656 |
3/16 | 0.1875 | 4.7625 |
13/64 | 0.2031 | 5.1594 |
7/32 | 0.2188 | 5.5563 |
15/64 | 0.2344 | 5.9531 |
1/4 | 0.2500 | 6.3500 |
17/64 | 0.2656 | 6.7469 |
9/32 | 0.2813 | 7.1438 |
19/64 | 0.2969 | 7.5406 |
5/16 | 0.3125 | 7.9375 |
21/64 | 0.3281 | 8.3344 |
11/32 | 0.3438 | 8.7313 |
23/64 | 0.3594 | 9.1281 |
3/8 | 0.3750 | 9.5250 |
25/64 | 0.3906 | 9.9219 |
13/32 | 0.4063 | 10.3188 |
27/64 | 0.4219 | 10.7156 |
7/16 | 0.4375 | 11.1125 |
29/64 | 0.4531 | 11.5094 |
15/32 | 0.4688 | 11.9063 |
31/64 | 0.4844 | 12.3031 |
1/2 | 0.5000 | 12.7000 |
33/64 | 0.5156 | 13.0969 |
17/32 | 0.5313 | 13.4938 |
35/64 | 0.5469 | 13.8906 |
9/16 | 0.5625 | 14.2875 |
37/64 | 0.5781 | 14.6844 |
19/32 | 0.5938 | 15.0813 |
39/64 | 0.6094 | 15.4781 |
5/8 | 0.6250 | 15.8750 |
41/64 | 0.6406 | 16.2719 |
21/32 | 0.6563 | 16.6688 |
43/64 | 0.6719 | 17.0656 |
11/16 | 0.6875 | 17.4625 |
45/64 | 0.7031 | 17.8594 |
23/32 | 0.7188 | 18.2563 |
47/64 | 0.7344 | 18.6531 |
3/4 | 0.7500 | 19.0500 |
49/64 | 0.7656 | 19.4469 |
25/32 | 0.7813 | 19.8438 |
51/64 | 0.7969 | 20.2406 |
13/16 | 0.8125 | 20.6375 |
53/64 | 0.8281 | 21.0344 |
27/32 | 0.8438 | 21.4313 |
55/64 | 0.8594 | 21.8281 |
7/8 | 0.8750 | 22.2250 |
57/64 | 0.8906 | 22.6219 |
29/32 | 0.9063 | 23.0188 |
59/64 | 0.9219 | 23.4156 |
15/16 | 0.9375 | 23.8125 |
61/64 | 0.9531 | 24.2094 |
31/32 | 0.9688 | 24.6063 |
63/64 | 0.9844 | 25.0031 |
1 | 1.0000 | 25.4000 |
1 1/64 | 1.0156 | 25.7969 |
1 1/32 | 1.0313 | 26.1938 |
1 3/64 | 1.0469 | 26.5906 |
1 1/16 | 1.0625 | 26.9875 |
1 5/64 | 1.0781 | 27.3844 |
1 3/32 | 1.0938 | 27.7813 |
1 7/64 | 1.1094 | 28.1781 |
1 1/8 | 1.1250 | 28.5750 |
1 9/64 | 1.1406 | 28.9719 |
1 5/32 | 1.1563 | 29.3688 |
1 11/64 | 1.1719 | 29.7656 |
1 3/16 | 1.1875 | 30.1625 |
1 13/64 | 1.2031 | 30.5594 |
1 7/32 | 1.2188 | 30.9563 |
1 15/64 | 1.2344 | 31.3531 |
1 1/4 | 1.2500 | 31.7500 |
1 17/64 | 1.2656 | 32.1469 |
1 9/32 | 1.2813 | 32.5438 |
1 19/64 | 1.2969 | 32.9406 |
1 5/16 | 1.3125 | 33.3375 |
1 21/64 | 1.3281 | 33.7344 |
1 11/32 | 1.3438 | 34.1313 |
1 23/64 | 1.3594 | 34.5281 |
1 3/8 | 1.3750 | 34.9250 |
1 25/64 | 1.3906 | 35.3219 |
1 13/32 | 1.4063 | 35.7188 |
1 27/64 | 1.4219 | 36.1156 |
1 7/16 | 1.4375 | 36.5125 |
1 29/64 | 1.4531 | 36.9094 |
1 15/32 | 1.4688 | 37.3063 |
1 31/64 | 1.4844 | 37.7031 |
1 1/2 | 1.5000 | 38.1000 |
1 33/64 | 1.5156 | 38.4969 |
1 17/32 | 1.5313 | 38.8938 |
1 35/64 | 1.5469 | 39.2906 |
1 9/16 | 1.5625 | 39.6875 |
1 37/64 | 1.5781 | 40.0844 |
1 19/32 | 1.5938 | 40.4813 |
1 39/64 | 1.6094 | 40.8781 |
1 5/8 | 1.6250 | 41.2750 |
1 41/64 | 1.6406 | 41.6719 |
1 21/32 | 1.6563 | 42.0688 |
1 43/64 | 1.6719 | 42.4656 |
1 11/16 | 1.6875 | 42.8625 |
1 45/64 | 1.7031 | 43.2594 |
1 23/32 | 1.7188 | 43.6563 |
1 47/64 | 1.7344 | 44.0531 |
1 3/4 | 1.7500 | 44.4500 |
1 49/64 | 1.7656 | 44.8469 |
1 25/32 | 1.7813 | 45.2438 |
1 51/64 | 1.7969 | 45.6406 |
1 13/16 | 1.8125 | 46.0375 |
1 53/64 | 1.8281 | 46.4344 |
1 27/32 | 1.8438 | 46.8313 |
1 55/64 | 1.8594 | 47.2281 |
1 7/8 | 1.8750 | 47.6250 |
1 57/64 | 1.8906 | 48.0219 |
1 29/32 | 1.9063 | 48.4188 |
1 59/64 | 1.9219 | 48.8156 |
1 15/16 | 1.9375 | 49.2125 |
1 61/64 | 1.9531 | 49.6094 |
1 31/32 | 1.9688 | 50.0063 |
1 63/64 | 1.9844 | 50.4031 |
2 | 2.0000 | 50.8000 |
2 1/64 | 2.0156 | 51.1969 |
2 1/32 | 2.0313 | 51.5938 |
2 3/64 | 2.0469 | 51.9906 |
2 1/16 | 2.0625 | 52.3875 |
2 5/64 | 2.0781 | 52.7844 |
2 3/32 | 2.0938 | 53.1813 |
2 7/64 | 2.1094 | 53.5781 |
2 1/8 | 2.1250 | 53.9750 |
2 9/64 | 2.1406 | 54.3719 |
2 5/32 | 2.1563 | 54.7688 |
2 11/64 | 2.1719 | 55.1656 |
2 3/16 | 2.1875 | 55.5625 |
2 13/64 | 2.2031 | 55.9594 |
2 7/32 | 2.2188 | 56.3563 |
2 15/64 | 2.2344 | 56.7531 |
2 1/4 | 2.2500 | 57.1500 |
2 17/64 | 2.2656 | 57.5469 |
2 9/32 | 2.2813 | 57.9438 |
2 19/64 | 2.2969 | 58.3406 |
2 5/16 | 2.3125 | 58.7375 |
2 21/64 | 2.3281 | 59.1344 |
2 11/32 | 2.3438 | 59.5313 |
2 23/64 | 2.3594 | 59.9281 |
2 3/8 | 2.3750 | 60.3250 |
2 25/64 | 2.3906 | 60.7219 |
2 13/32 | 2.4063 | 61.1188 |
2 27/64 | 2.4219 | 61.5156 |
2 7/16 | 2.4375 | 61.9125 |
2 29/64 | 2.4531 | 62.3094 |
2 15/32 | 2.4688 | 62.7063 |
2 31/64 | 2.4844 | 63.1031 |
2 1/2 | 2.5000 | 63.5000 |
2 33/64 | 2.5156 | 63.8969 |
2 17/32 | 2.5313 | 64.2938 |
2 35/64 | 2.5469 | 64.6906 |
2 9/16 | 2.5625 | 65.0875 |
2 37/64 | 2.5781 | 65.4844 |
2 19/32 | 2.5938 | 65.8813 |
2 39/64 | 2.6094 | 66.2781 |
2 5/8 | 2.6250 | 66.6750 |
2 41/64 | 2.6406 | 67.0719 |
2 21/32 | 2.6563 | 67.4688 |
2 43/64 | 2.6719 | 67.8656 |
2 11/16 | 2.6875 | 68.2625 |
2 45/64 | 2.7031 | 68.6594 |
2 23/32 | 2.7188 | 69.0563 |
2 47/64 | 2.7344 | 69.4531 |
2 3/4 | 2.7500 | 69.8500 |
2 49/64 | 2.7656 | 70.2469 |
2 25/32 | 2.7813 | 70.6438 |
2 51/64 | 2.7969 | 71.0406 |
2 13/16 | 2.8125 | 71.4375 |
2 53/64 | 2.8281 | 71.8344 |
2 27/32 | 2.8438 | 72.2313 |
2 55/64 | 2.8594 | 72.6281 |
2 7/8 | 2.8750 | 73.0250 |
2 57/64 | 2.8906 | 73.4219 |
2 29/32 | 2.9063 | 73.8188 |
2 59/64 | 2.9219 | 74.2156 |
2 15/16 | 2.9375 | 74.6125 |
2 61/64 | 2.9531 | 75.0094 |
2 31/32 | 2.9688 | 75.4063 |
2 63/64 | 2.9844 | 75.8031 |
3 | 3.0000 | 76.2000 |
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