When you multiply two signs that are different the result is a minus (negative value)
Think of +(-6)" " as " "(+1)xx(-6)
Giving:" "-(1xx6)=-6
Putting it all together we have:
3/5-6
~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Multiply by 1 and you do not change the value. However, if you multiplied by 1=5/5 you would not change the value but you would change the way it looks.
color(green)(" "3/5-[6color(magenta)(xx1)]" "->" "3/5-[6color(magenta)(xx5/5)])
color(brown)("You can now do direct subtraction as denominators are the same"
" "3/5-30/5" "->" "(3-30)/5
" " = " "-27/5
'~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
color(blue)("Foot note")
A fraction consist of " "("count")/("size indicator of what you are counting")
The difference in the function between the top number and the bottom number is very important.
" "("count")/("size indicator")" "->" "("numerator")/("denominator")
color(white)(.)
color(green)(bar(|color(white)(2/2)"You can not "color(red)(ul("directly"))" add or subtract the counts"color(white)(2/2)"|)) color(green)(ul(|color(white)(2/2)"unless the size indicators are the same."color(white)(" "2/2)|))
Consider this example:
You can directly add 3+2 because their size indicators are the same. Really they are : 3/1+2/1. It is just that people do not normally show them this way.
