Question

How do you convert 0.87 (7 repeating) to a fraction?

Answer 1

Let `10x = 8.7` and `100x = 87.7`

We now have two equations. Subtracting the largest from the smallest:

`100x = 87.7`
`10x = 8.7`
`"-------------"`

`90x = 79`

`x = 79/90`

Hence, `0.877777... = 79/90`.

Hopefully this helps!