Inch Fraction to Decimal Calculator

Convert an inch measurement between a nearest-1/16 fraction, a decimal, and millimeters — type a decimal or pick a fraction and read all three at once.

Inch value
in
ResultsLIVE
Nearest 1/16 inch
7 7/16 in
= 188.91 mm
Decimal inches7.4375 in
Millimeters188.91 mm
Centimeters18.89 cm

A tape measure speaks in fractions — sixteenths, eighths, quarters — while calipers, drawings, and spreadsheets speak in decimals, and metric parts speak in millimeters. This tool moves an inch measurement between all three. Type a decimal like `7.4375` and it snaps to the nearest sixteenth, `7 7/16`, and to `188.91` millimeters. Pick a fraction from the menus and it reads back the decimal and the millimeter value instead.

Converting a fraction to a decimal is just division: the top number over the bottom, added to the whole inches. So `7/16` is `7 ÷ 16 = 0.4375`, and `7 7/16` is `7.4375`. Going the other way, the calculator multiplies the decimal by `16`, rounds to the closest whole number of sixteenths, and reduces the fraction to lowest terms — `0.4375 × 16 = 7`, which stays `7/16`. Millimeters come from the exact definition `1 inch = 25.4 mm`, so no measurement precision is lost in the trip.

Worked example
7.4375 decimal inches
= nearest 1/16 -> 7 7/16 in
= 7.4375 x 25.4 = 188.91 mm
Divide the numerator by the denominator and add the whole inches. For 7 7/16, compute 7 ÷ 16 = 0.4375, then 7 + 0.4375 = 7.4375 inches. Pick the fraction from the menus and the calculator shows the decimal instantly.