Question

How do you solve `7/0.07`?

Answer 1

See a solution process below:

Explanation:

First, multiply by the fraction by `100/100` to eliminate the decimal in the denominator. `100/100 = 1` and is the same as multiplying by `1` so it does not effect the value of the fraction:

`100/100 xx 7/0.07 = (100 xx 7)/(100 xx 0.07) = 700/7`

We can now just divide giving: `color(red)(100)`

Or, we can reduce the faction to obtain the answer depending on what you are comfortable with:

`700/7 = (7 xx 100)/(7 xx 1) = (color(red)(cancel(color(black)(7))) xx 100)/(color(red)(cancel(color(black)(7))) xx 1) = 100/1 = color(red)(100)`