Converters And Conversion

Inches To Fraction Calculator

Easily convert inches with decimals to fractions

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Table of contents

◦How to convert decimal fractions to measurements?
◦Fraction to inches conversion table

How to convert decimal fractions to measurements?

In construction, it's common to use decimal fractions to represent measurements. For example, a contractor may need to cut a board that is 2.75 feet long. To make the cut, they need to know how many inches to measure from the end of the board.
To convert a decimal fraction to inches, you need to multiply the decimal by 12, since there are 12 inches in a foot. Let's use the example of a board that is 2.75 feet long:
2.75 feet = 2.75 x 12 inches = 33 inches
So the contractor would need to measure 33 inches from the end of the board to make the cut.
Another example: let's say you're building a wall and you need to know how long each stud needs to be. The blueprint specifies that the studs should be 16.5 inches apart. To calculate the length of the studs, you would multiply the number of spaces between them by the width of each space:
16.5 inches x 2 = 33 inches
So the studs should be cut to a length of 33 inches.

Fraction to inches conversion table

Use this table to convert any inch fraction between 0" and 1" with intervals of 1⁄64".
Fraction Inches
Decimal Inches ["]
Millimeters [mm]
1⁄64"
0.015625
0.396875
1⁄32"
0.03125
0.79375
3⁄64"
0.046875
1.190625
1⁄16"
0.0625
1.5875
5⁄64"
0.078125
1.984375
3⁄32"
0.09375
2.38125
7⁄64"
0.109375
2.778125
1⁄8"
0.125
3.175
9⁄64"
0.140625
3.571875
5⁄32"
0.15625
3.96875
11⁄64"
0.171875
4.365625
3⁄16"
0.1875
4.7625
13⁄64"
0.203125
5.159375
7⁄32"
0.21875
5.55625
15⁄64"
0.234375
5.953125
1⁄4"
0.25
6.35
17⁄64"
0.265625
6.746875
9⁄32"
0.28125
7.14375
19⁄64"
0.296875
7.540625
5⁄16"
0.3125
7.9375
21⁄64"
0.328125
8.334375
11⁄32"
0.34375
8.73125
23⁄64"
0.359375
9.128125
3⁄8"
0.375
9.525
25⁄64"
0.390625
9.921875
13⁄32"
0.40625
10.31875
27⁄64"
0.421875
10.715625
7⁄16"
0.4375
11.1125
29⁄64"
0.453125
11.509375
15⁄32"
0.46875
11.90625
31⁄64"
0.484375
12.303125
1⁄2"
0.5
12.7
33⁄64"
0.515625
13.096875
17⁄32"
0.53125
13.49375
35⁄64"
0.546875
13.890625
9⁄16"
0.5625
14.2875
37⁄64"
0.578125
14.684375
19⁄32"
0.59375
15.08125
39⁄64"
0.609375
15.478125
5⁄8"
0.625
15.875
41⁄64"
0.640625
16.271875
21⁄32"
0.65625
16.66875
43⁄64"
0.671875
17.065625
11⁄16"
0.6875
17.4625
45⁄64"
0.703125
17.859375
23⁄32"
0.71875
18.25625
47⁄64"
0.734375
18.653125
3⁄4"
0.75
19.05
49⁄64"
0.765625
19.446875
25⁄32"
0.78125
19.84375
51⁄64"
0.796875
20.240625
13⁄16"
0.8125
20.6375
53⁄64"
0.828125
21.034375
27⁄32"
0.84375
21.43125
55⁄64"
0.859375
21.828125
7⁄8"
0.875
22.225
57⁄64"
0.890625
22.621875
29⁄32"
0.90625
23.01875
59⁄64"
0.921875
23.415625
15⁄16"
0.9375
23.8125
61⁄64"
0.953125
24.209375
31⁄32"
0.96875
24.60625
63⁄64"
0.984375
25.003125
1"
1
25.4
To convert a decimal to a fraction in inches, you can follow these steps:
  • Determine the denominator: The denominator of the fraction will depend on the smallest unit of measurement you want to use. For example, if you want to use 1/16 inch as the smallest unit, then the denominator would be 16.
  • Convert the decimal to a fraction: To convert the decimal to a fraction, you can multiply it by the denominator you chose in step 1. Round the result to the nearest whole number, then write it as the numerator of the fraction.
  • Write the fraction: Write the numerator you obtained in step 2 over the denominator you chose in step 1.
    • For example, let's say you have a decimal measurement of 0.375 inches, and you want to convert it to a fraction using 1/16 inch as the smallest unit.
  • The denominator is 16, since we are using 1/16 inch as the smallest unit.
  • Multiply 0.375 by 16: 0.375 x 16 = 6. Round 6 to the nearest whole number, which is also 6.
  • Write the fraction: The fraction is 6/16, which can be simplified to 3/8. So 0.375 inches is equivalent to 3/8 inch.
    • To convert a distance in mm to inches and fractions, you can follow a similar process:
  • Determine the denominator: The denominator of the fraction will depend on the smallest unit of measurement you want to use in inches. For example, if you want to use 1/16 inch as the smallest unit, then the denominator would be 16.
  • Convert the mm measurement to inches: To convert the mm measurement to inches, divide the mm measurement by 25.4, since there are 25.4 mm in one inch.
  • Convert the decimal to a fraction: Follow the steps outlined above to convert the decimal to a fraction in inches.
    • For example, let's say you have a distance of 50 mm, and you want to convert it to inches using 1/16 inch as the smallest unit.
  • The denominator is 16, since we are using 1/16 inch as the smallest unit.
  • Convert 50 mm to inches: 50 mm / 25.4 = 1.969 inches.
  • Convert 1.969 inches to a fraction using the process outlined above. The result is 1 15/16 inches.
    • John Cruz
    Article author
    John Cruz
    John is a PhD student with a passion to mathematics and education. In his freetime John likes to go hiking and bicycling.
    Inches To Fraction Calculator English
    Published: Mon Feb 27 2023
    In category Converters and conversion
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