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Woodworking Math

5/16 inch in decimal and mm

Decimal inches

0.3125 in

Millimetres

7.9375 mm

From the standard, the international inch, 25.4 mm exactly

The math

  1. A fraction is its top number divided by its bottom number: 5/16 in = 5 ÷ 16 = 0.3125 in.
  2. An inch is exactly 25.4 mm, so 0.3125 × 25.4 = 7.9375 mm, or 7.938 mm to three places.
  3. In feet, divide by 12: 0.3125 ÷ 12 = 0.026042 ft. In centimetres, divide the mm by 10: 0.79375 cm.
  4. The same size in finer steps: 5/16 = 10/32 = 20/64. A tape marked in 16ths, 32nds or 64ths shows it at those marks.

5/16 to the nearest 1/8

A tape or rule marked more coarsely than 16ths can’t show 5/16 exactly. The nearest marks, and how far off each is (plus means the mark is bigger; a size exactly halfway goes to the bigger mark):

NearestMarkOff by (in)Off by (mm)
1/83/8 in+0.0625+1.588

Drills, plywood and lumber at 5/16 in

Drills either side of 5/16 in
DrillSizeOff by
7.9 mm0.311 in−0.0375 mm
8 mm0.315 in+0.0625 mm

Every drill is on the drill bit size chart.

Bits of this size

Sizes either side

FractionDecimalmm
19/64 in0.296875 in7.541 mm
21/64 in0.328125 in8.334 mm

Every size is on the fraction to decimal chart; any other size goes in the fraction to decimal calculator.