How do you simplify and make the decimal 0.101 into a fraction?

1 Answer
Sep 29, 2015

0.101 = 101/10000.101=1011000

Explanation:

0.101 * 1000 = 1010.1011000=101

So 0.101 = 101/10000.101=1011000

101101 and 10001000 have no common factors to make this simpler. In fact 101101 is a prime number, having no positive integer factors apart from 11 and itself.