Answer:
Step-by-step explanation:
The idea is to move the decimal to right after the repeating digit and then to right before it and subtract.
Let x = .46666
Then to move the decimal one place to right before the repeating digit, we multiply by ten which moves the decimal right after the 4 and right before the repeating 6:
10x = 4.666
Now we need to move it to right after the repeating digit, so we multiply by 100:
100x = 46.666 and subtract:
100x = 46.666
-10x = 4.666
99x = 42 so
x = 42/99
