The decimal value 0.1 converts to the fraction 1/10
This is because the 1 in 0.1 represents "one tenth", as its in the tenths place.
So this means 2/0.1 is the same as 2/(1/10) or [tex]2 \div \frac{1}{10}[/tex]
Then we can follow these steps:
[tex]2 \div \frac{1}{10} = \frac{2}{1} \div \frac{1}{10}\\\\\\2 \div \frac{1}{10} = \frac{2}{1} \times \frac{10}{1}\\\\\\2 \div \frac{1}{10} = \frac{2*10}{1*1}\\\\\\2 \div \frac{1}{10} = \frac{20}{1}\\\\\\2 \div \frac{1}{10} = 20\\\\\\[/tex]
Note in the second step, we flip the second fraction to go from a division problem to a multiplication problem. The general rule is [tex]\frac{A}{B} \div \frac{C}{D} = \frac{A}{B} \times \frac{D}{C}[/tex]. The first fraction does not flip.
