Question

How do you divide and simplify `\frac { 3x ^ { 2} y ^ { 4} } { 10x ^ { 2} y ^ { 4} } \div \frac { 9a y ^ { 3} } { 5x ^ { 3} y ^ { 4} }`?

Answer 1

`(x^3y)/(6a)`

Explanation:

`(3x^2y^4)/(10x^2y^4) -: (9ay^3)/(5x^3y^4) to`

`(3cancel(x^2y^4))/(10cancel(x^2y^4)) -: (9ay^3)/(5x^3y^4)to`

`3/10 * (5x^3y^cancel(4)1)/(9acancel(y^3))to`

`(15x^3y)/(90a)to`

`(x^3y)/(6a)`