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

$0.101 = \frac{101}{1000}$
$0.101 \cdot 1000 = 101$
So $0.101 = \frac{101}{1000}$
$101$ and $1000$ have no common factors to make this simpler. In fact $101$ is a prime number, having no positive integer factors apart from $1$ and itself.