Subtract \(0.\overline{02}\) from \(0.\overline{0.002}\) and express the result as a fraction.
+37153 I would first convert to fractions then do the subtraction ( it will be a negative answer)
x = .02020202.....
100x = 2.02020202
99x = 2
x = 2/99
y = .002002002....
1000y = 2.002002...
999y = 2
y = 2/999
2/999 - 2/99 = (22- 222) / 10989 = -200 / 10989
+37153 I would first convert to fractions then do the subtraction ( it will be a negative answer)
x = .02020202.....
100x = 2.02020202
99x = 2
x = 2/99
y = .002002002....
1000y = 2.002002...
999y = 2
y = 2/999
2/999 - 2/99 = (22- 222) / 10989 = -200 / 10989
