Solve 25p^2q/2rs^2div5pq^2/6r^2s

$$\frac { 25 p ^ { 2 } q } { 2 r s ^ { 2 } } \div \frac { 5 p q ^ { 2 } } { 6 r ^ { 2 } s }$$

Evaluate

$$\frac{15pr}{qs}$$

Solution Steps

Divide \frac{25p^{2}q}{2rs^{2}} by \frac{5pq^{2}}{6r^{2}s} by multiplying \frac{25p^{2}q}{2rs^{2}} by the reciprocal of \frac{5pq^{2}}{6r^{2}s}.

$$\frac{25p^{2}q\times 6r^{2}s}{2rs^{2}\times 5pq^{2}}$$

Cancel out 2\times 5pqrs in both numerator and denominator.

$$\frac{3\times 5pr}{qs}$$

Multiply 3 and 5 to get 15.

$$\frac{15pr}{qs}$$

Differentiate w.r.t. r

$$\frac{15p}{qs}$$