How do you multiply #\frac { 2( p + 6) } { 4} \cdot \frac { p - 3} { 2( p - 3) }#?

1 Answer
Nov 18, 2016

#(p+6)/4#

Explanation:

When multiplying fractions the same rules apply to arithmetic and algebraic fractions.

#rarr#change mixed numbers to improper fractions.
#rarr# cancel like factors if possible.
#rarr# Multiply straight across: #"top x top"/"bottom x bottom"#

#(cancel2(p+6))/4 xx (cancel(p-3))/(cancel2(cancel(p-3))#

=#(p+6)/4#