# What is 9.0 divided by 0.9?

May 10, 2016

$10$

#### Explanation:

We know that $0.9 = \frac{0.9}{1} = \frac{0.9 \times 10}{1 \times 10} = \frac{9}{10}$

Then, $\frac{9.0}{0.9} = \frac{9}{\frac{9}{10}}$

color(red)("i.e. " 9 -: 9/10 = 9 xx 10/9, "dividing by a fraction means multiplying by the reciprocal of that fraction."

$= \frac{90}{9} = 10$