### Decimal-to-Fration Calculator / Converter

Convert from decimal to fraction. Convert 0.142857 to Fraction. Decimal-to-fraction chart and calculator. Writes any decimal number as 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 integer at the numerator.
- Step 3: Simplify (or reduce) the fraction if it is not in the simplest form.

Learn more by reading the examples below or using our self-explaining.

## 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 the 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 of 1.3 percent

**1.3 = ^{13}/_{10} = 1^{3}/_{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 the numerator and denominator by 10. So,

1.3/1 = ^{(1.3 × 10)}/_{(1 × 10)} = ^{13}/_{10}.

(This fraction has already been reduced, so 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 the inch value by 25.4.

To convert from millimeters to inch divide the millimeters 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

fraction | inches | mm |
---|---|---|

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 |

fraction | inches | mm |
---|---|---|

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 |

fraction | inches | mm |
---|---|---|

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 |

### See also:

- Fraction Calculator
- Fraction to Decimal Calculator
- Fraction to Percent Calculator
- Fractions Simplifier/Reducer
- Equivalent Fractions 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.

## Sample decimal to fraction conversions

- .681 as a fraction
- 102.3 as a fraction
- 105.06 as a fraction

- .769 as a fraction
- 0.055 as a fraction
- .413 as a fraction

- 11.77 as a fraction
- .446 as a fraction
- 10.81 as a fraction