Solve 7m^2n/8x:21m/20x^2y=

$$\frac { 7 m ^ { 2 } n } { 8 x } : \frac { 21 m } { 20 x ^ { 2 } y } =$$

Evaluate

$$\frac{5mnxy}{6}$$

Solution Steps

Divide \frac{7m^{2}n}{8x} by \frac{21m}{20x^{2}y} by multiplying \frac{7m^{2}n}{8x} by the reciprocal of \frac{21m}{20x^{2}y}.

$$\frac{7m^{2}n\times 20x^{2}y}{8x\times 21m}$$

Cancel out 4\times 7mx in both numerator and denominator.

$$\frac{5mnxy}{2\times 3}$$

Multiply 2 and 3 to get 6.

$$\frac{5mnxy}{6}$$

Differentiate w.r.t. x

$$\frac{5mny}{6}$$