Question

How Does 2 / 0.1 become 20?​

Answer 1

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
`2 / (1)/(10)`

Then we can follow these steps:

`2 / (1)/(10) = (2)/(1) / (1)/(10)\\\\\\2 / (1)/(10) = (2)/(1) * (10)/(1)\\\\\\2 / (1)/(10) = (2*10)/(1*1)\\\\\\2 / (1)/(10) = (20)/(1)\\\\\\2 / (1)/(10) = 20\\\\\\`

Note in the second step, we flip the second fraction to go from a division problem to a multiplication problem. The general rule is
`(A)/(B) / (C)/(D) = (A)/(B) * (D)/(C)`. The first fraction does not flip.