Half of Inch Fractions Table

double the denominatorkeep the numerator - half of n/8 is n/16, every time
FractionHalfDecimalmm
1”1/2”0.512.70
7/8”7/16”0.437511.11
3/4”3/8”0.3759.53
5/8”5/16”0.31257.94
1/2”1/4”0.256.35
3/8”3/16”0.18754.76
1/4”1/8”0.1253.18
1/8”1/16”0.06251.59
1/16”1/32”0.031250.79
1/32”1/64”0.0156250.40
SituationThe halving that matters
Sawing stock down the middle3/4” board → two 3/8” faces - account for the blade kerf before you mark
Sewing seam allowances5/8” pattern seam → 5/16” trimmed or topstitched; 1/4” → 1/8” at collars
Framing and layoutCenter = measure whole, take half from the table, mark from one edge - the eye centers high
Shelf pin holes1/4” system halved is 1/8” - below that you are drilling metric, not fractions
Below the tableHalf of 1/64” is 1/128” (0.20 mm) - real math, no tape mark; calipers take over
Halving is a mathematical identity (double the denominator, keep the numerator), so the table is exact by construction - the unit anchors follow NIST's SI units reference (1 inch = 25.4 mm exactly, the 1959 international yard-and-pound agreement). Even numerators should cancel rather than double: half of 6/16 is 3/16, not 6/32.
Related bench: the half calculator halves any number, the inch fraction calculator converts the other direction, the half food calories table is the kitchen cousin of this page, and the mm to inches converter bridges the two unit systems.

Halving an inch fraction trips people because the answer is never a number you can point to on the tape's printed scale - half of 3/8 inch is 3/16, and the 3/16 mark is a tick, not a numeral. The rule is one line: to halve a fraction, double the denominator and keep the numerator (half of n/16 is n/32). That is why the halving chain always marches toward 64ths and why the table reads like a countdown: 1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64.

Bottom line: odd numerators are the actual lookup need - half of 3/4 is 3/8 and half of 5/8 is 5/16 are the two every woodworker and sewist hits first - while even numerators halve by cancellation (half of 6/16 is 3/8, not 6/32). The table carries both forms plus the decimal and millimeter values, because half a millimeter is where cutting accuracy actually lives: 1/16 inch is 1.6 mm, and half of that is already inside the kerf of most saw blades.

The honest part: below 1/64 the tape measure has no marks at all - the fractions keep halving forever mathematically, but physically you have crossed from measuring into calipers and micrometers. And halving is not the same as estimating: for layout work, find the center by measuring the whole and marking half of the measurement, not by eye - the eye centers high, consistently, which is why the last inch of every shelf fits worse than the first.

How to use

  1. Halve with the rule, not the eye: double the denominator, keep the numerator - half of 5/8 is 5/16, half of 7/16 is 7/32. For even numerators, cancel instead: half of 6/16 is 3/8.
  2. Read the answer off the table in the unit you are actually cutting in: the decimal column for digital calipers, the millimeter column for plans drawn metric, the fraction column for tape and ruler work.
  3. Stop halving where the tool stops: 1/64 is the last mark a tape carries; below that, calipers. If the halved size matters (a tenon, a seam allowance), test-fit before cutting the second piece.
Good to know — Halving rule: double the denominator, keep the numerator (half of n/8 = n/16). Chain: 1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64. Star lookups: half of 3/4 = 3/8; half of 5/8 = 5/16; half of 3/8 = 3/16; half of 1/4 = 1/8. Even numerators: halve the numerator (half of 6/16 = 3/16). Floors: 1/64 is the last tape mark; decimals and millimeters carry on (1/64 in = 0.397 mm).
Quick reference — When a plan says 'center it', do not halve by eye - measure the opening, look up half of it on this table, and mark from one edge. The eye centers high by a consistent couple of 32nds, which is invisible one shelf at a time and obvious across a bank of them. Keep the halving chain (1, 1/2, 1/4, 1/8, 1/16, 1/32, 1/64) on the same card as your tape's fraction legend and you never re-derive it mid-cut.

Frequently asked questions

What is half of 3/8 inch?

3/16 inch. Double the denominator (8 to 16), keep the numerator: half of 3/8 = 3/16 = 0.1875 inch, about 4.76 mm. It is the most-looked-up halving in woodworking because 3/8 stock splits into two 3/16 faces, and 3/16 is a tick below the 1/4 mark - closer to it than to 1/8.

What is half of 5/8 inch?

5/16 inch (0.3125, about 7.94 mm) - the second-most-looked-up value, since 5/8 is a standard material thickness (deck boards, plywood strips) and its half lands on 5/16, a tick the tape carries but no numeral labels. Same rule: 8 doubles to 16, the 5 rides along.

Why is half of 1/4 not 1/2?

Because 'half' sends the size down, not the numeral up: half of 1/4 inch is 1/8 inch. The denominator doubles (4 to 8) while the part of the inch stays the same share of a smaller whole - it reads backwards against intuition because the printed numerals on a tape (1/4, 1/2) get bigger while the marks they label get closer together.

How do you halve a fraction with an even numerator?

Cancel first, then halve: half of 6/16 is not 6/32 - that is unsimplified. Half of 6/16 = 3/16... wait, do it cleanly: 6/16 reduces to 3/8, and half of 3/8 is 3/16. The fast pattern: halve the numerator when it is even (6/16 to 3/16 works only if you also keep the denominator - 6/16 halved is 3/16, yes, because 6 halves to 3 and 16 stays). Both routes land on 3/16; the doubling-denominator route is the one that never fails.

What is half of 1/16, 1/32, and 1/64 inch?

Half of 1/16 is 1/32 (0.03125, about 0.79 mm); half of 1/32 is 1/64 (about 0.40 mm); half of 1/64 is 1/128 - a real fraction with no tape mark anywhere. Practical floor: 1/64 is the last line most tapes and rules carry, so most shops answer 'half of 1/64' with 'calipers', not with a fraction.

Is halving inches different from halving centimeters?

No - halving is unit-free: half of 3 cm is 1.5 cm the same way half of 3/8 inch is 3/16 inch. What differs is the resolution floor: metric tapes print millimeters all the way down, so 'half of a millimeter' is still a readable mark (0.5 mm), while the imperial side runs out of printed ticks at 1/64. That is the whole reason metric countries layout at odd sizes comfortably and imperial shops keep a fraction-to-decimal card taped to the saw.

Related tools