3/10 as a decimal
3/10 = 0.3 inches = 7.62 mm.
0.3
3/10 of an inch
Millimetres
7.62 mm
Centimetres
0.762 cm
Percent
30%
Decimal
terminates
Where 3/10 falls at each precision, and whether the mark is the value exactly
| Rule | Nearest mark | Exact? |
|---|---|---|
| 1/16 | 5/16 | nearest |
| 1/32 | 5/16 | nearest |
| 1/64 | 19/64 | nearest |
Converting 3/10 to a decimal
A fraction is a division. 3/10 = 3 ÷ 10 = 0.3. The decimal terminates because 10 factors into 2 × 5 — only 2s and 5s, the factors of ten. Any fraction whose denominator is built from those has an exact decimal.
In metric that is 7.62 millimetres (0.762 cm), since one inch is exactly 25.4 mm. As a percentage of an inch it is 30%.
3/10 is not a mark on any imperial rule — the denominators on a rule are all powers of two, and 10 is not one. The nearest marks are 5/16 on a 1/16 rule, 5/16 on a 1/32 rule, 19/64 on a 1/64 rule, none of them exact.
Going the other way
To turn 0.3 back into a fraction, pick the precision you are working to and multiply. At 1/16: 0.3 × 16 = 4.8, giving 5/16 after rounding to the nearest mark. At 1/32: 0.3 × 32 = 9.6, giving 5/16 after rounding to the nearest mark. At 1/64: 0.3 × 64 = 19.2, giving 19/64 after rounding to the nearest mark.
What is 3/10 as a decimal?
3/10 as a decimal is 0.3. Divide the numerator by the denominator: 3 ÷ 10 = 0.3. The division comes out exactly, with no remainder left over.
What is 0.3 as a fraction?
0.3 as a fraction is 3/10, in lowest terms.
How many millimetres is 3/10 of an inch?
3/10 of an inch is 7.62 mm, or 0.762 cm. An inch has been defined as exactly 25.4 mm since 1959, so this conversion is a definition rather than a measurement — the millimetre value is exact too.
Where is 3/10 on a tape measure?
3/10 is not a mark on any imperial rule — the denominators on a rule are all powers of two, and 10 is not one. The nearest marks are 5/16 on a 1/16 rule, 5/16 on a 1/32 rule, 19/64 on a 1/64 rule, none of them exact.