How do you divide #\frac { 5} { 3n ^ { 3} + 3n ^ { 2} } \div \frac { 1} { 3n ^ { 2} }#?

1 Answer
Apr 20, 2017

Answer:

#frac{5}{3n^3+3n^2}divfrac{1}{3n^2}=frac{5}{n+1}#

Explanation:

#frac{5}{3n^3+3n^2}divfrac{1}{3n^2}#

Factor the denominator of the first fraction
#=frac{5}{(3n^2)(n+1)}div frac{1}{3n^2}#

Dividing is the same as multiplying by the reciprocal:
#=frac{5}{color(red)((3n^2))(n+1)}*color(red)((3n^2))#

Cancel terms that are repeated on the numerator and denominator:
#=frac{5}{n+1}#