Solve 1.2:3.6:x:3

$$1.2 : 3.6 : x : 3$$

Evaluate

$$\frac{1}{9x}$$

Solution Steps

Express \frac{\frac{\frac{1.2}{3.6}}{x}}{3} as a single fraction.

$$\frac{\frac{1.2}{3.6}}{x\times 3}$$

Expand \frac{1.2}{3.6} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{12}{36}}{x\times 3}$$

Reduce the fraction \frac{12}{36} to lowest terms by extracting and canceling out 12.

$$\frac{\frac{1}{3}}{x\times 3}$$

Express \frac{\frac{1}{3}}{x\times 3} as a single fraction.

$$\frac{1}{3x\times 3}$$

Multiply 3 and 3 to get 9.

$$\frac{1}{9x}$$

Differentiate w.r.t. x

$$-\frac{1}{9x^{2}}$$