How can I start and solve this?

Question

The rational expression 5 a squared b cubed over 3pq represents the area of the rectangle and 3ab over p represents the length. What rational expression represents the width?

 

Answer 1

Area = Length times Width

 

Width = Area / Length

 

Area = (5a²b³) / 3pq

 

Length = (3ab) / p

 

Width = [(5a²b³) / 3pq] / [(3ab) / p]

 

To divide fractions you invert the denominator and 

multiply this times the numerator:

 

Width = [(5a²b³) / 3pq] x [p / 3ab]

 

Cancel terms in the denominator with like terms in numerator:

 

Width = (5ab²) / 9q