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

##### 3 Answers

Mar 17, 2016

#### Explanation:

We first let 1.37 (7 being repeated) be

Since

#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 = 12.4/9#

#= 124/90#

#= 62/45#

Mar 18, 2016

Let

Subtracting 2nd equation from third, we get

Mar 18, 2016

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