here's a little trick
\(9x = 10x - 1x \\ 9(2.333\bar{3}) = 10(2.333\bar{3}) - 2.333\bar{3} = \\ 23.333\bar{3} - 2.333\bar{3} = 21 \\ x = \dfrac{21}{9} = \dfrac 7 3\)
Here is ANOTHER little trick...THIS website IS a calculator.....go to the homesite and type in 2.333333 and
hit ' = '
and look above the calc display to see 7/3 F'in' majic. Try it !