Converting Terminating and Repeating decimal into a fraction

Lightfire

Joined Oct 5, 2010
690
Hello,

Our lessons is being even harder.Not so, though.

Okay.

I want to ask if my mathematical solution was correct. I am not going to post the whole mathematical notation. So, just the answer. I hope, I am correct.

Terminating decimal to a fraction first.

346.435 = $$\frac{346435}{1000}$$

Repeating decimal to a fraction, for the second.
$$0.000^{346}$$
Please, the 346 number has a bar line on top, indicating it as a repeating fraction.

Therefore, my answer is, $$\frac{346}{999000}$$

Last edited:

Georacer

Joined Nov 25, 2009
5,182
The way to input a bar in Latex is
Rich (BB code):
0.000\bar{346}
and it gives you this:
$$0.000\bar{346}$$

Lightfire

Joined Oct 5, 2010
690
Okay. Thank you. Georacer, you always answer my math question.!!!
$$3\frac{250}{100}$$

Lightfire

Joined Oct 5, 2010
690
Okay. Thank you. Georacer, you always answer my
math question.!!!
MY SOLUTIOn.
346.435=
$$346\frac{435}{1000}=3\frac{1000(346)+435}={1000\frac{346000+435}{1000}3\frac{346435}{1000}$$

is it correct

Georacer

Joined Nov 25, 2009
5,182
Err, you might want to check your result. It seems that you messed your Latex up and the result is unreadable. Write it in plain one-line equation if you have trouble with Latex.

Lightfire

Joined Oct 5, 2010
690
$$346\frac{435}{1000}=\frac {1000(346)+435}{1000}=\frac{346000+435}{1000}= \frac{346435}{1000}$$

magnet18

Joined Dec 22, 2010
1,227
Looks good from here, good job with the Latex