Answer: 13/3
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Work Shown:
x = 4.3333...
10x = 43.3333....
10x - x = (4.3333...) - (43.3333...)
9x = 39
x = 39/9
x = (13*3)/(3*3)
x = 13/3
Use your calculator to confirm that 13/3 is equivalent to 4.3333... where the '3's go on forever.