what is 0.4 recurring as a fraction
I assume you mean → 0.44.......
If so....we have 44/99 = 4/9
10⋅0.ˉ4=4.ˉ41⋅0.ˉ4=0.ˉ410⋅0.ˉ4−1⋅0.ˉ4=4.ˉ4−0.ˉ49⋅0.ˉ4=40.ˉ4=490.4 recurring=49