Solve 2/3(frac{10{x-9})}

$$\frac { 2 } { 3 ( \frac { 10 } { x - 9 } ) }$$

Evaluate

$$\frac{x-9}{15}$$

Solution Steps

Express 3\times \frac{10}{x-9} as a single fraction.

$$\frac{2}{\frac{3\times 10}{x-9}}$$

Divide 2 by \frac{3\times 10}{x-9} by multiplying 2 by the reciprocal of \frac{3\times 10}{x-9}.

$$\frac{2\left(x-9\right)}{3\times 10}$$

Cancel out 2 in both numerator and denominator.

$$\frac{x-9}{3\times 5}$$

Multiply 3 and 5 to get 15.

$$\frac{x-9}{15}$$

Differentiate w.r.t. x

$$\frac{1}{15} = 0.06666666666666667$$