Solve 28/42y50/x

$$\frac { 28 } { 42 } y \frac { 50 } { x }$$

Evaluate

$$\frac{100y}{3x}$$

Solution Steps

Reduce the fraction \frac{28}{42} to lowest terms by extracting and canceling out 14.

$$\frac{2}{3}y\times \frac{50}{x}$$

Multiply \frac{2}{3} times \frac{50}{x} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 50}{3x}y$$

Multiply 2 and 50 to get 100.

$$\frac{100}{3x}y$$

Express \frac{100}{3x}y as a single fraction.

$$\frac{100y}{3x}$$

Differentiate w.r.t. x

$$-\frac{100y}{3x^{2}}$$