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

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Answer 1 · 2016-03-17T04:49:52

$62/45$

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 · 2016-03-18T05:09:17

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 · 2016-03-18T09:20:06

x=45/62

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