Question

Convert 11.42424242 … to a rational expression in the form of a over b, where b ≠ 0.

Answer 1

Mathmate has given you a correct answer -- in fact better than your choices. If you can reduce a fraction, you really should. 11 42/99 is correct and you should pick C. But the better answer would have been 11 14/33 because in the fractional form this is the reduced amount. As a mixed fraction that's as low as it will go.

Perhaps 11 42/99 is good teaching but 11 14/33 is good math.

Answer 2

x=11.4242....

100x=1142.4242....

100x-x = 99x = 1131

x=1131/99 = 11 42/99 (unreduced) = 11 14/33 (reduced fraction)