Inch fraction calculator

Add, subtract, multiply and divide tape-measure fractions like 3 5/8 + 1 3/16. Get the answer to the nearest 1/2 to 1/64 inch, plus decimal inches, mm and cm.

How it works

  1. Type two lengths such as 3 5/8 and 1 3/16
  2. Pick +, −, × or ÷ and the finest mark on your tape
  3. Read the answer in fractions, decimal inches and mm

How to add and subtract inch fractions

To add inch fractions, convert both lengths to a common denominator and add the numerators: 3 5/8 + 1 3/16 is 29/8 + 19/16, which is 58/16 + 19/16 = 77/16, or 4 13/16 inches. This calculator does that exactly, with no decimals along the way, then rounds the result to the finest mark you choose, from 1/2 down to 1/64 inch. You can type lengths as 3 5/8, 3-5/8, 5/8, a decimal such as 1.25, or feet and inches such as 5' 3 1/2" or 5ft 3in. A minus sign in front applies to the whole length.

Multiply, divide and cut lists

Multiplying and dividing take a length and a plain number. 3 1/4 × 3 is 9 3/4 inches, and 96 ÷ 5 is 19.2 inches, which on a 1/16 tape rounds to 19 3/16 with an error of 0.0125 inch (0.32 mm). That is the cut-list case: cutting a 96 inch board into 5 equal pieces. The rounding error is shown every time, so you can see whether the nearest mark is close enough or whether to use a finer one. Ties round away from zero, so exactly half way between two marks goes to the longer one.

Decimal inches and millimetres to a fraction

Switch to the second mode to turn a decimal into the nearest fraction: 0.4375 inch is exactly 7/16, while 0.3 inch is 19/64 to the nearest 1/64, short by 0.0031 inch. You can also enter millimetres or centimetres. The conversion uses 1 inch = 25.4 mm exactly, the value fixed by the 1959 international yard and pound agreement and listed by NIST. So 25.4 mm is 1 inch and 10 mm is 0.3937 inch, which is 3/8 on a 1/16 tape. A table lists the nearest mark and its error at every precision from 1/2 to 1/64.

Which fraction size to pick

Most US and Canadian tape measures mark 1/16 inch, and finer rules mark 1/32 or 1/64. Pick the finest mark you can actually read. A 1/16 mark is 1.5875 mm, a 1/32 mark is 0.79 mm and a 1/64 mark is 0.40 mm. Answers of 12 inches or more also show as feet and inches, so 75 1/2 inches reads as 6' 3 1/2". Inputs accept up to 12 digits before the point and 9 after it, and anything that is not a length gives a message under the box instead of a wrong answer. Everything runs in your browser and nothing you type is stored or sent anywhere. For general fractions with no units, use the fraction calculator.

Frequently asked questions

How do you add 3 5/8 and 1 3/16?

Write both over 16: 3 5/8 is 58/16 and 1 3/16 is 19/16. Add them to get 77/16, which is 4 13/16 inches, 4.8125 inches or 122.24 mm.

How do I convert 0.375 inch to a fraction?

Multiply by the precision you want and round: 0.375 × 16 = 6, so 6/16, which reduces to 3/8. On a 1/64 tape it is also 3/8 because 0.375 × 64 = 24 and 24/64 = 3/8.

How many millimetres is 1/16 inch?

1/16 inch is 1.5875 mm, because 1 inch is exactly 25.4 mm and 25.4 ÷ 16 = 1.5875. A 1/32 mark is 0.79375 mm and 1/64 is 0.396875 mm.

How do I divide a board into equal pieces?

Divide the length by the number of pieces. 96 inches ÷ 5 = 19.2 inches, which is 19 3/16 on a 1/16 tape, 0.0125 inch short. This tool does not model saw kerf, which varies by blade (about 0.095 to 0.126 inch for common blades). For a cut list, subtract the kerf first: (96 − 4 × measured kerf) ÷ 5, since five pieces need four cuts.

Can I type feet and inches?

Yes: 5' 3 1/2" or 5ft 3in both mean 63.5 inches. Results of a foot or more also show as feet and inches, so 63.5 inches displays as 5' 3 1/2".

What does the rounding error mean?

It is the nearest mark minus the exact value. For 0.3 inch rounded to 1/16 the nearest mark is 5/16 = 0.3125, so the error is +0.0125 inch (+0.32 mm); a plus sign means the fraction is longer than the exact length.