Question

How do you convert 1.37 (7 being repeated) to a fraction?

Answer 1

`62/45`

Explanation:

We first let 1.37 (7 being repeated) be `x`.

Since `x` is recurring in 1 decimal places, we multiply it by `10^1`.

`10x = 13.77`

Next, we subtract them.

`10x - x = 13.77 - 1.37`

`9x = 12.4`

Lastly, we divide both sides by 9 to get `x` as a fraction.

`x = 12.4/9`

`= 124/90`

`= 62/45`

Answer 2

Let `x=1.377777777....`, then

`10x=13.77777777...` and
`100x=137.777777777---`

Subtracting 2nd equation from third, we get

`90x=124`

`x=124/90=62/45`

Answer 3

x=45/62

Explanation:

_

1.37
x=1.37
10x=13.7
100x=137.7
100x-10x=137.7-13.7
90x=124
x=124/90
x=45/62