Solve 11/2/2-1/40f32

$$\frac { 11 / 2 } { 2 - 1 / 40 f 32 }$$

Evaluate

$$\frac{220}{80-f_{32}}$$

Solution Steps

Express \frac{\frac{11}{2}}{2-\frac{1}{40}f_{32}} as a single fraction.

$$\frac{11}{2\left(2-\frac{1}{40}f_{32}\right)}$$

Use the distributive property to multiply 2 by 2-\frac{1}{40}f_{32}.

$$\frac{11}{4+2\left(-\frac{1}{40}\right)f_{32}}$$

Express 2\left(-\frac{1}{40}\right) as a single fraction.

$$\frac{11}{4+\frac{2\left(-1\right)}{40}f_{32}}$$

Multiply 2 and -1 to get -2.

$$\frac{11}{4+\frac{-2}{40}f_{32}}$$

Reduce the fraction \frac{-2}{40} to lowest terms by extracting and canceling out 2.

$$\frac{11}{4-\frac{1}{20}f_{32}}$$

Differentiate w.r.t. f_32

$$\frac{220}{\left(80-f_{32}\right)^{2}}$$