# Real Simple Fraction Question

• Jan 16th 2011, 01:16 AM
FailInMaths
Real Simple Fraction Question
Can i write 1/(1/30) ?
*/ = Divide

So it's something where by 1 divided by 30 first (1/30), then divided by 1 (1/).

Thanks for helping
• Jan 16th 2011, 01:51 AM
CaptainBlack
Quote:

Originally Posted by FailInMaths
Can i write 1/(1/30) ?
*/ = Divide

So it's something where by 1 divided by 30 first (1/30), then divided by 1 (1/).

Thanks for helping

You have:

$\dfrac{1}{\left(\frac{1}{30}\right)}$

Multiplying top and bottom of a fraction by the same thing leaves the value of the fraction unchanged, so here multiply top and bottom of the large fraction by $30$:

$\dfrac{1}{\left(\frac{1}{30}\right)}=\dfrac{(1)\ti mes 30}{\left(\frac{1}{30}\right)\times 30}=\dfrac{30}{1}=30$

CB
• Jan 16th 2011, 01:56 AM
FailInMaths
Quote:

Originally Posted by CaptainBlack
You have:

$\dfrac{1}{\left(\frac{1}{30}\right)}$

Multiplying top and bottom of a fraction by the same thing leaves the value of the fraction unchanged, so here multiply top and bottom of the large fraction by $30$:

$\dfrac{1}{\left(\frac{1}{30}\right)}=\dfrac{(1)\ti mes 30}{\left(\frac{1}{30}\right)\times 30}=\dfrac{30}{1}=30$

CB

So is it appropraite to write that?
• Jan 16th 2011, 02:11 AM
Unknown008
What I fail to understand... is why would you want to write $\dfrac{1}{\left(\frac{1}{30}\right)}$
• Jan 16th 2011, 02:30 AM
FailInMaths
Quote:

Originally Posted by Unknown008
What I fail to understand... is why would you want to write $\dfrac{1}{\left(\frac{1}{30}\right)}$

It's hard to explain it here but the thing is whether can i write that fraction? It's it mathematically correct?
• Jan 16th 2011, 02:31 AM
Unknown008
You can do that, yes.

Is it possible that you elaborate on what are you doing, maybe? If not, then that's okay.

If you have such a fraction, you can simplify it as CB showed you.
• Jan 16th 2011, 02:37 AM
FailInMaths
Thanks for the answer. Really really apreciate it.
It's hard to explain it here, it's kinda complicated but i just only want to know whether it is mathematically correct.
*Thanked
• Jan 16th 2011, 04:12 AM
DrSteve
It is certainly mathematically correct, but every complex fraction can be simplified to a simple fraction. There aren't many cases where someone would want to leave a final answer as a complex fraction.