Eighths, drawn and stated

The first serious rule, with each mark shown as a bar — the filled share IS the fraction — beside its reduced name, exact decimal, percent, and what it measures in millimetres.

Fraction Bar model Reduced Decimal Percent mm (as inches)
1/8 0.125 12.5% 3.175
2/8 1/4 0.25 25% 6.35
3/8 0.375 37.5% 9.525
4/8 1/2 0.5 50% 12.7
5/8 0.625 62.5% 15.875
6/8 3/4 0.75 75% 19.05
7/8 0.875 87.5% 22.225
8/8 1 1 100% 25.4

Ready for finer rules? 16ths · 32nds · 64ths — or see the marks in place on the ruler.

Common questions

Why start with eighths?
Because they are the first rule that contains the halves and quarters inside it: 4/8 is 1/2 and 2/8 is 1/4, which the reduced column and the bars make visible. Learn to read eighths and the finer rules are the same idea, halved again.
What is 3/8 as a decimal and a percent?
3/8 is exactly 0.375, which is 37.5%. Every eighth ends cleanly in decimals because 8 is 2 × 2 × 2.
Where this comes from. Exact rational arithmetic on the values shown — fractions are pairs of integers until display, and inch–metric conversion uses 25.4 mm to the inch, exact by definition since 1959. See the full methodology.