Question

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

Answer 1

`(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`