Solve (6/5x^{3}y^{4}zt^8):(5/3x^3y^3zt^7)

$$( \frac { 6 } { 5 } x ^ { 3 } y ^ { 4 } z t ^ { 8 } ) : ( \frac { 5 } { 3 } x ^ { 3 } y ^ { 3 } z t ^ { 7 } )$$

Evaluate

$$\frac{18ty}{25}$$

Solution Steps

Cancel out zx^{3}y^{3}t^{7} in both numerator and denominator.

$$\frac{\frac{6}{5}ty}{\frac{5}{3}}$$

Divide \frac{6}{5}ty by \frac{5}{3} by multiplying \frac{6}{5}ty by the reciprocal of \frac{5}{3}.

$$\frac{\frac{6}{5}ty\times 3}{5}$$

Multiply \frac{6}{5} and 3 to get \frac{18}{5}.

$$\frac{\frac{18}{5}ty}{5}$$

Divide \frac{18}{5}ty by 5 to get \frac{18}{25}ty.

$$\frac{18}{25}ty$$

Differentiate w.r.t. t

$$\frac{18y}{25}$$