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Posted on 2011-04-26

Convert the following to fractional form in lowest terms. The answer is 13/9.

Can someone show me the steps to this. Thanks.

1.4 with a dot above the 4 to indicate and endless number of 4's.

Examples:

0.4 = 04/10 = 2/5.

3.68 = 368/100 = 184/50 = 92/25.

Can someone show me the steps to this. Thanks.

1.4 with a dot above the 4 to indicate and endless number of 4's.

Examples:

0.4 = 04/10 = 2/5.

3.68 = 368/100 = 184/50 = 92/25.

10 Comments

No, because none of that is true ;)

I'm saying that if you have a number that looks like 0.xxxxxx..., with x any digit (x = 4 eg., which gives 0.444444...), then it can be written as x/9 in fractional form (4/9 eg.).

Have a look at d-glitch's comment. It might be easier to understand from that ...

```
The general solution technique is to do whatever it takes to cancel the
repeating decimal.
Y = 3.12727272727
Multiplying by 10 doesn't work because there are two repeating digits.
But multiplying by 100 does.
100*Y = 312.727272727
Y = 3.127272727
------------------------
99*Y = 309.6
Y = 3096/990 (which can be reduced further)
```

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