Question

How do you divide `\frac { 1} { 3p } \div \frac { p - 7} { 6p ^ { 3} - 42p ^ { 2} }`?

Answer 1

`= 2p`

Explanation:

When you meet an algebraic fraction - whether in an equation or an expression, the first step is to factorise where possible.

`1/(3p) div ((p-7))/(6p^2(p-7))`

Change `div` to `xx` by the reciprocal.

`1/(cancel3p) xx (cancel6^2p^2cancel((p-7)))/cancel((p-7))" "` now cancel like factors and simplify.

`= 2p`