+239 Subtract \(0.\overline{07}\) from 0.07 and convert the answer to a simplified fraction.
+129849 To convert .07 (repeating) to a fraction
Let x = .07 (repeating)
Multiply both sides by 100
100x = 7.07 (repeating)
100x - x = 7.07(repeating) - .07(repeating)
99x = 7
x = 7/99
So
.07 - .07 (repeating) =
7/100 - 7/99 =
7(99) - 7(100)
___________ =
100 * 99
7 (99 - 100)
__________ =
9900
7 (-1)
______ =
9900
-7
_____
9900
