Question

30 x what will equal 100

Answer 1

So we have 30 times some number is equal to 100. You could say 30 × ? = 100, or in a more math-y way,
`30x=100`, where x is the number we're trying to find (not to be confused with the times sign). To find x, we need to isolate it (get it alone).

For
`30x=100`, we divide both sides of the equation by 30.


`(30x)/(30)= (100)/(30)`

On the left side, the 30's cancel, so we get
`x = (100)/(30)`, but we're not done. We need to simplify this fraction.

We can rewrite the fraction with common factors in mind, like

`((10)(10))/((3)(10))= (10)/(3)`.
With more practice, this will seem more automatic to you.
This fraction is now in simplest form, so our final answer is

`x = (10)/(3)`