The Romans used a duodecimal rather than a decimal system for fractions, as the divisibility of twelve makes it easier to handle the common fractions of and than does a system based on ten . Notation for fractions other than is mainly found on surviving Roman coins, many of which had values that were duodecimal fractions of the unit . Fractions less than are indicated by a dot (·) for each "twelfth", the source of the English words "inch" and "ounce"; dots are repeated for fractions up to five twelfths. Six twelfths (one half), is for "half". "Uncia" dots were added to for fractions from seven to eleven twelfths, just as tallies were added to for whole numbers from six to nine. The arrangement of the dots was variable and not necessarily linear. Five dots arranged like (⁙) (as on the face of a die) are known as a quincunx, from the name of the Roman fraction/coin. The Latin words ' and ' are the source of the English words "sextant" and "quadrant".