Think of this as a thread where people post math problems and other members of ILP can help solve them if they so choose to.
First math problem of the thread.
2/3 -:- 5/7 = 2/3 x 7/5 = 14/15 Answer.
1 5/8 -:- 9/27 = 1 5/8 = 13/8 = 13/8 x 27/9= 351/72= 4 63/72= 4 7/8 Answer.
1 5/8 -:- 5 9/27 = 1 5/8 = 13/8 5 9/27= 144/27
13/8 x 144/27 = 27/144 = 351/1152 = 39/128 Answer.
Bizarre even by your standards.
You have a dot operator, which means multiplication, but you do division.
You relate quantities, which are not equal, with an equal sign.
There isn’t a division key on my android portable here, but yes I was implying dividing by with the dot. A simple mistake. I suppose I should of use the solidus / key for division in those equations, but I was already doing that illustrating the fractions where I didn’t want to cause any further confusion. I’ll see what I can use in replacement of the dot.
For now on when I can’t imply division with the solidus / icon I’ll use the obelus -:- icon instead so that I don’t cause any confusion.
I was trying to show fractional quantities reduced with the equal sign. Probably a mistake.
How would you do it?
You should have used / for division and wrapped the fractions in parentheses().
Mixed fractions could also go in parentheses. Or you could show on a separate line how you convert from mixed fraction to improper fraction and then show the substitution on a third line.
(1 5/8)/( 5 9/27)
=(13/8)/(144/27)
=(13/8)x(27/144)
=351/1152
=39/128
Yeah, that does look a lot better. Thanks for the suggestion.
Writing it on a piece of paper is a lot easier than typing it out on a computer or other internet device.
I was going to make the same point as phyllo a lot earlier but had to get to work.
A tip or two: presentation counts, and at least you’re attempting to show all your working but you really do need to be careful with what you equate. I get what you were trying to say, but only because I’m experienced - the object is to make what you’re doing so clear that even someone inexperienced would understand it.
In your 2nd post, for example, (1 5/8) / (9/27) =/= (1 5/8) or (13/8), you’ve simply turned your attention to just the numerator (the top number being dividing by the bottom - the denominator - in case you’ve not yet come across those terms) without saying what you’re doing.
Instead, write it like this:
(1 5/8) / (9/27) = (13/8) / (9/27)
Even if you’re just changing one simple thing, ALWAYS make the equation balance. And do just change one thing at a time for maximum clarity, even if it means writing an extra line of working. Write each line of working on a new line, as phyllo has demonstrated.
And yeah, perhaps you assumed the “dot” was an untaken operator that you could unambiguously use to stand in place of division - how wrong you were 
If you ever get to vectors (you are currently dealing with scalars) you’ll have a lot of fun with the dot operator lol.
Thanks for the advice Silhouette.
Right now I am trying to refresh with advanced fractions and decimals. In the coming months I’ll post even harder equations in this thread.
My goal is to teach myself mathematics up to a Algebra II level by next fall. We shall see if I reach my expected goal or not by then.