Given that 0.111 .... =1/9 , 0.444 is equal to
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4/9 is the answer. Hope this helps.
Let y = 0.4444444......
or y = 0 + 0.4444...... (1)
then 10y = 4.444444444....
or 10 y = 4 + 0.44444..... (2)
by subtracting (1) from (2) , we get :
10 y - y = 4 - 0 + 0.4444 - 0.44444
Thus 9y = 4
Hence y = 4/9 or 0.4444.... = 4/9
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