# What is 10 divided by (1 divided by 0.1)?

Mar 12, 2017

$1$

#### Explanation:

Let's write this in maths first:

$10 \div \left(1 \div 0.1\right)$

$10 \div \frac{1}{0.1}$

We can treat this as a fraction calculation or as a decimal calculation.

As a fraction: To divide, multiply by the reciprocal:

$10 \times \frac{0.1}{1}$

$= 1$

As a decimal, change the denominator into 1

$10 \div \frac{1 \times 10}{0.1 \times 10}$

$= 10 \div \frac{10}{1}$

$= 10 \div 10 = 1$