Coins of Turkey eurozone since a number of vending machines at the time accepted the 1 new Turkish lira coin as a €2 coin. Since €2 is worth roughly four times more, vending machines affected had to be upgraded at the expense of their owners. From 1 January 2009, the "new" was removed from the second Turkish lira, its official name in Turkey becoming just "Turkish lira" again; new coins without the word "yeni" were introduced in denominations of 1, 5, 10, 25, 50 kuruş and 1 lira. Also, the inner and outer alloys of the 50 kuruş and 1 lira coins were
Decimal decimal fractions were non-positional. However, counting rod fractions were positional. Qin Jiushao in his book Mathematical Treatise in Nine Sections (1247) denoted 0.96644 by J. Lennart Berggren notes that positional decimal fractions appear for the first time in a book by the Arab mathematician Abu'l-Hasan al-Uqlidisi written in the 10th century. The Jewish mathematician Immanuel Bonfils used decimal fractions around 1350, anticipating Simon Stevin, but did not develop any notation to represent them. The Persian mathematician Jamshīd al-Kāshī claimed to have discovered decimal fractions himself in the 15th century. Al Khwarizmi introduced fraction to Islamic countries in the early 9th