Posted by Luke on .
I know its true but why?
When you multiply a whole number by a whole number the result is a larger number. When you multiply fractions the result is a smaller number.

algebra 
Seth,
Think of it as multiplying the fraction by a whole number. One third three times is 1. The order in which you look at multiplication does not matter, the results are the same. 3x(1/3)=1 and (1/3)x3=1

algebra 
MathMate,
It is because MOST fractions are smaller than 1. So when you multiply fractions together, they get smaller. On the other hand, ALL integers (except 0) are greater than or equal to 1 (in absolute value), so the product tends to be bigger.
Examples that support what you observe:
2*2=4, 3*2=6,
(1/2)*4=2, (1/2)*(1/4)=1/8
Examples that contest what you observe:
2*0 = 0, 3*1=3 (not bigger)
(4/3)*6=8, (8/3)*(9/4)=6
Hope that answers your question. 
algebra 
Anonymous,
If RS=8y+T,ST=4y+8, and RT=15y9, find the value of y