Decimal to Fraction Calculator With Steps

Decimal to Fration Calculator / Converter

Enter a decimal or interger value:
 Ex.: 0.5, 0.625, 1.75, etc.

Step-by-Step Solution

See the solution here

To calculate it as a REPEATING or recurring decimal click here!

Convert from decimal to fraction. Online Decimal to Fraction Calculator. Here you can find a decimal to fraction chart and also a calculator which convertes any number to a fraction.

How to Convert a Decimal to a Fraction - Steps

  • Step 1: Write down the decimal as a fraction of one (decimal/1);
  • Step 2: If the decimal is not a whole number, multiply both top and bottom by 10 until you get an interger at the numerator.
  • Step 3: Simplify (or reduce) the fraction if it is not in the simplest form.

Learn more reading the examples below or use our self-explaining calculator above

Convert decimal 0.05 to a fraction

0.05 = 1/20 as a fraction

Step by Step Solution

To convert the decimal 0.05 to a fraction follow these steps:

Step 1: Write down the number as a fraction of one:

0.05 = 0.05/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

0.05/1 = (0.05 × 100)/(1 × 100) = 5/100.

Step 3: Simplify (or reduce) the fraction:

5/100 = 1/20 when reduced to the simplest form.

What is 0.45 as a fraction?

0.45 = 9/20 as a fraction

Step by Step Solution

To convert the decimal 0.45 to a fraction follow these steps:

Step 1: Write down the number as a fraction of one:

0.45 = 0.45/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 2 numbers after the decimal point, we multiply both numerator and denominator by 100. So,

0.45/1 = (0.45 × 100)/(1 × 100) = 45/100.

Step 3: Simplify (or reduce) the fraction:

45/100 = 9/20 when reduced to the simplest form.

Equivalent fraction for 1.3 percent

1.3 = 13/10 = 13/10 as a fraction

Step by Step Solution

To convert the decimal 1.3 to a fraction follow these steps:

Step 1: Write down the number as a fraction of one:

1.3 = 1.3/1

Step 2: Multiply both top and bottom by 10 for every number after the decimal point:

As we have 1 numbers after the decimal point, we multiply both numerator and denominator by 10. So,

1.3/1 = (1.3 × 10)/(1 × 10) = 13/10.

(This fraction is alread reduced, We can't reduce it any further).

As the numerator is greater than the denominator, we have an IMPROPER fraction, so we can also express it as a MIXED NUMBER, thus 13/10 is also equal to 1 3/10 when expressed as a mixed number.

Conversion table: fraction to decimal inches and millimeter equivalence

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!

Usable fraction to decimal inches and millimeter conversion table

fractioninchesmm
1/640.01560.3969
1/320.03130.7938
3/640.04691.1906
1/160.06251.5875
5/640.07811.9844
3/320.09382.3813
7/640.10942.7781
1/80.12503.1750
9/640.14063.5719
5/320.15633.9688
11/640.17194.3656
3/160.18754.7625
13/640.20315.1594
7/320.21885.5563
15/640.23445.9531
1/40.25006.3500
17/640.26566.7469
9/320.28137.1438
19/640.29697.5406
5/160.31257.9375
21/640.32818.3344
11/320.34388.7313
23/640.35949.1281
3/80.37509.5250
25/640.39069.9219
13/320.406310.3188
27/640.421910.7156
7/160.437511.1125
29/640.453111.5094
15/320.468811.9063
31/640.484412.3031
1/20.500012.7000
33/640.515613.0969
17/320.531313.4938
35/640.546913.8906
9/160.562514.2875
37/640.578114.6844
19/320.593815.0813
39/640.609415.4781
5/80.625015.8750
41/640.640616.2719
21/320.656316.6688
43/640.671917.0656
11/160.687517.4625
45/640.703117.8594
23/320.718818.2563
47/640.734418.6531
3/40.750019.0500
49/640.765619.4469
25/320.781319.8438
51/640.796920.2406
13/160.812520.6375
53/640.828121.0344
27/320.843821.4313
55/640.859421.8281
7/80.875022.2250
57/640.890622.6219
29/320.906323.0188
59/640.921923.4156
15/160.937523.8125
61/640.953124.2094
31/320.968824.6063
63/640.984425.0031
11.000025.4000
fractioninchesmm
1 1/641.015625.7969
1 1/321.031326.1938
1 3/641.046926.5906
1 1/161.062526.9875
1 5/641.078127.3844
1 3/321.093827.7813
1 7/641.109428.1781
1 1/81.125028.5750
1 9/641.140628.9719
1 5/321.156329.3688
1 11/641.171929.7656
1 3/161.187530.1625
1 13/641.203130.5594
1 7/321.218830.9563
1 15/641.234431.3531
1 1/41.250031.7500
1 17/641.265632.1469
1 9/321.281332.5438
1 19/641.296932.9406
1 5/161.312533.3375
1 21/641.328133.7344
1 11/321.343834.1313
1 23/641.359434.5281
1 3/81.375034.9250
1 25/641.390635.3219
1 13/321.406335.7188
1 27/641.421936.1156
1 7/161.437536.5125
1 29/641.453136.9094
1 15/321.468837.3063
1 31/641.484437.7031
1 1/21.500038.1000
1 33/641.515638.4969
1 17/321.531338.8938
1 35/641.546939.2906
1 9/161.562539.6875
1 37/641.578140.0844
1 19/321.593840.4813
1 39/641.609440.8781
1 5/81.625041.2750
1 41/641.640641.6719
1 21/321.656342.0688
1 43/641.671942.4656
1 11/161.687542.8625
1 45/641.703143.2594
1 23/321.718843.6563
1 47/641.734444.0531
1 3/41.750044.4500
1 49/641.765644.8469
1 25/321.781345.2438
1 51/641.796945.6406
1 13/161.812546.0375
1 53/641.828146.4344
1 27/321.843846.8313
1 55/641.859447.2281
1 7/81.875047.6250
1 57/641.890648.0219
1 29/321.906348.4188
1 59/641.921948.8156
1 15/161.937549.2125
1 61/641.953149.6094
1 31/321.968850.0063
1 63/641.984450.4031
22.000050.8000
fractioninchesmm
2 1/642.015651.1969
2 1/322.031351.5938
2 3/642.046951.9906
2 1/162.062552.3875
2 5/642.078152.7844
2 3/322.093853.1813
2 7/642.109453.5781
2 1/82.125053.9750
2 9/642.140654.3719
2 5/322.156354.7688
2 11/642.171955.1656
2 3/162.187555.5625
2 13/642.203155.9594
2 7/322.218856.3563
2 15/642.234456.7531
2 1/42.250057.1500
2 17/642.265657.5469
2 9/322.281357.9438
2 19/642.296958.3406
2 5/162.312558.7375
2 21/642.328159.1344
2 11/322.343859.5313
2 23/642.359459.9281
2 3/82.375060.3250
2 25/642.390660.7219
2 13/322.406361.1188
2 27/642.421961.5156
2 7/162.437561.9125
2 29/642.453162.3094
2 15/322.468862.7063
2 31/642.484463.1031
2 1/22.500063.5000
2 33/642.515663.8969
2 17/322.531364.2938
2 35/642.546964.6906
2 9/162.562565.0875
2 37/642.578165.4844
2 19/322.593865.8813
2 39/642.609466.2781
2 5/82.625066.6750
2 41/642.640667.0719
2 21/322.656367.4688
2 43/642.671967.8656
2 11/162.687568.2625
2 45/642.703168.6594
2 23/322.718869.0563
2 47/642.734469.4531
2 3/42.750069.8500
2 49/642.765670.2469
2 25/322.781370.6438
2 51/642.796971.0406
2 13/162.812571.4375
2 53/642.828171.8344
2 27/322.843872.2313
2 55/642.859472.6281
2 7/82.875073.0250
2 57/642.890673.4219
2 29/322.906373.8188
2 59/642.921974.2156
2 15/162.937574.6125
2 61/642.953175.0094
2 31/322.968875.4063
2 63/642.984475.8031
33.000076.2000

Decimal to Fraction Calculator

Decimal to Fraction Calculator

Please link to this page! Just right click on the above image, then choose copy link address, then past it in your HTML.

Disclaimer

While every effort is made to ensure the accuracy of the information provided on this website, neither this website nor its authors are responsible for any errors or omissions. Therefore, the contents of this site are not suitable for any use involving risk to health, finances or property.