Inches To Fraction Calculator | Convert Inches To Fractions (2024)

Converters And Conversion

Inches To Fraction Calculator

Easily convert inches with decimals to fractions

Inches To Fraction Calculator | Convert Inches To Fractions (1)

Enter distance (decimal or fraction)

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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.
  • Inches To Fraction Calculator | Convert Inches To Fractions (3)

    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.

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    Inches To Fraction Calculator | Convert Inches To Fractions (2024)

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