Yes, "sum" was a very bad word to use there!
I will use the cancelling technique, and I will give this question all I've got!
(PS: I enjoyed the popcorn, I will send you some Unpopped kernels from England - it probably won't be as tasty as the popcorn in Austrailian )
$$\\34\frac{1}{8}\times\frac{14}{51}\div1\frac{15}{34}\\\\
34\frac{1}{8}\times\frac{14}{51}\\\\
=\;34\frac{1}{8\div2}\times\frac{14\div2}{51}\\\\
=\;34\frac{1}{4}\times\frac{7}{51}\\\\
=\;\frac{34*4+1}{4}\times\frac{7}{51}\\\\
=\;\frac{137}{4}\times\frac{7}{51}\\\\
=\;\frac{137*7}{4*51}\\\\$$
$$\\=\;\frac{959}{204}\\\\
=\;\frac{959}{204}\div1\frac{15}{34}\\\\
=\;\frac{959}{204}\times1\frac{34}{15}\\\\
=\;\frac{959}{204\div34}\times1\frac{34\div34}{15}\\\\
=\;\frac{959}{6}\times1\frac{1}{15}\\\\
=\;\frac{959}{6\div3}\times1\frac{1}{15\div3}\\\\
=\;\frac{959}{2}\times1\frac{1}{5}\\\\$$
$$\\=\;\frac{959}{2}\times\frac{1*5+1}{5}\\\\
=\;\frac{959}{2}\times\frac{6}{5}\\\\
=\;\frac{959}{2\div2}\times\frac{6\div2}{5}\\\\
=\;\frac{959}{1}\times\frac{3}{5}\\\\
=\;959\times\frac{3}{5}\\\\
=\;\frac{2877}{5}$$
I gave it everything.
I got an answer in the end.
I'm not sure if I made any mistakes.
But, again with the code i messed up, i wrote this before but when I copied and pasted (just to be quicker with fractions) but I forgot that I copied the code before, then the code doubled, and everything went in between and I had to start again.
CALC.
Umm...How do I do it on the calc again?
I've been using Latex so much I almost forgot how to do a fraction and it was just /.
When you're doing mixed numbers, how do you do it wihout mixing the number with the fraction.
\\34\frac{1}{8}\times\frac{14}{51}\div1\frac{15}{34}\\\\
34\frac{1}{8}\times\frac{14}{51}\\\\
=\;34\frac{1}{8\div2}\times\frac{14\div2}{51}\\\\
=\;34\frac{1}{4}\times\frac{7}{51}\\\\
=\;\frac{34*4+1}{4}\times\frac{7}{51}\\\\
=\;\frac{137}{4}\times\frac{7}{51}\\\\
=\;\frac{137*7}{4*51}\\\\
=\;\frac{959}{204}\\\\
=\;\frac{959}{204}\div1\frac{15}{34}\\\\
=\;\frac{959}{204}\times1\frac{34}{15}\\\\
=\;\frac{959}{204\div34}\times1\frac{34\div34}{15}\\\\
=\;\frac{959}{6}\times1\frac{1}{15}\\\\
=\;\frac{959}{6\div3}\times1\frac{1}{15\div3}\\\\
=\;\frac{959}{2}\times1\frac{1}{5}\\\\
=\;\frac{959}{2}\times1\frac{1*5+1}{5}\\\\
=\;\frac{959}{2}\times\frac{6}{5}\\\\
=\;\frac{959}{2\div2}\times\frac{6\div2}{5}\\\\
=\;\frac{959}{1}\times\frac{3}{5}\\\\
=\;959\times\frac{3}{5}\\\\
=\;\frac{2877}{5}