Question

How do you write 2
4

9
as a decimal?

Answer 1

Interpreting that as the mixed number 2 4/9:

2 4/9 = 2 + 4/9.
4 ÷ 9 = 0.444... (repeating), so 4/9 = 0.\overline{4}.

Therefore 2 4/9 = 2.444... which can be written 2.\overline{4} or as the improper fraction 22/9.