Well I look at fractions as the division problem they are made to be. Next treat 'multiplication' as a positive and 'division' as a negative.

When you put a pos. and a neg. you get a negative/lower answer. When you put two pos. or two neg. together you get the positive/greater answer.

6+(-2)=4(lower)
6*(-2)=-12(lower)
(-2)*(-2)=4(greater)
(-6)/(-2)=3(greater)

So a fraction is a 'negative/lowering' function.
If you multiply(pos.) by a fraction(neg.) your answer should be 'neg./lower'. 30 * 1/2 = 15(lower)
If you divide(neg.) by a fraction(neg.) your answer should be 'pos./greater. 30 / 1/2 = 60(greater)

Regards,
Lobo-hotei
lobo

Treat the earth well, It was not given to you by your parents, It was loaned to you by your children.
Native American Proverb