Convert each repeating decimal to a simplified fraction. Show your work.

0.77--

2.3-

1.013--

Say x = 0.77--

Then 10x = 7.7--

Then 10x - x = 7 = > 9x=7 = > x=7/9

Say x = 2.3-

10x = 23.3-

10x-x = 9x = 21 = > x = 21/9

last one is a bit tougher because it has alternating digits

Say x = 1.013--

100x = 101.313--

100x-x = 99x = 100.3 = x = 1003/990

I multiplied the final fraction with 10 to get integers.