Melody

Ok then,

please do this one - you have not done it yet.

Do it with the most allowed canceling so that you do not need to multiply big numbers any more than necessary.  Also, keep it all together please like I do.  I would like you to use Latex please.   

$$\\34\frac{1}{8}\times \frac{14}{51}\div 1\frac{30}{68}$$

I will start you off.

$$\\34\frac{1}{8}\times \frac{14}{51}\div 1\frac{15}{34}\\\\
$None of the fraction parts can be simplified so you firstly need to change all the mixed numerals to improper fractions.$\\\\
\textcolor[rgb]{1,0,0}{\mbox{You cannot cancel the 8 and the 14 by 2 because the 1/8 is a part of (34+1/8).}}\\\\
\textcolor[rgb]{1,0,0}{\mbox{ You cannot cancel mixed numeral, they have to be made into improper fraction first}}\\\\
\frac{8*34+1}{8}\times \frac{14}{51}\div \frac{34*1+15}{34}\\\\
$now simplify what you have got$\\\\
$now invert the last fraction and change the divide to a time$\\\\
$Now you are up to cancelling BUT don't cancel yet$
\textcolor[rgb]{1,0,0}{}$$

---------------------

this is what I was referring to

$$\\2\frac{6}{8}\div 1\frac{8}{10} \\\\
$first I can simplify the fraction part that I have in the mixed numerals$\\\\
=2\frac{\not{6}^3}{\not{8}^4}\div 1\frac{5}{22} \\\\
\textcolor[rgb]{1,0,0}{=2\frac{3}{4}}\div 1\frac{5}{22} \\\\
=\frac{2*4+3}{4}\div \frac{1*22+5}{22} \\\\
=\frac{11}{4}\div \frac{27}{22} \\\\
$What is next here?$$$

DO YOU UNDERSTAND?

Yes DragonLance,

Learn from Morticia,  that girl is very sensible.

She knows how to win friends AND influence people.   

@@ End of Day Wrap   Tues 2/6/15   Sydney, Australia Time   12:40am    (Really Wed) ♪ ♫

Hi all,

Great answer today were supplied by Civonamzuk, DarkBlaze347, thejamesmachine, Alan, Radix, TitaniumRome, MathsGod1, Rom, zacismyname and CPhill.  Thanks all :)

Wed 3/6/15

If you would like to comment on other site issues please do so on the Lantern Thread.  Thank you.    

Interest Posts: 

FTJ means 'For the juniors' 

$$16\frac{2}{3}\%\;of\;150=25$$

25 wombats have fleas or ticks or both.

The frizzy headed vet (who i have called Lizzy) should have just got the guys to give the wombats a flea and tick bath in the first place and then they would not have needed to count them at all.

This vet is nicknamed Dizzy Frizzy Lizzy.        I wonder how she got that pet name.  

11 have only flea

5 have only ticks

9 have both

Sure looks like it.   Thanks anon :)

Thanks Chris :)

$$\\\frac{3(x^2-2x-8)}{3x^2}+2x-8\\\\
\frac{3x^2-6x-24}{3x^2}+\frac{3x^2(2x-8)}{3x^2}\\\\
\frac{3x^2-6x-24}{3x^2}+\frac{6x^3-24x^2}{3x^2}\\\\
\frac{6x^3-21x^2-6x-24}{3x^2}\\\\
\frac{2x^3-7x^2-2x-8}{x^2}\\\\$$

This is a dilation set about (0,0)