Solve 81/18x+3681/x

$$\frac { 81 } { 18 x } + 36 \frac { 81 } { x }$$

Evaluate

$$\frac{5841}{2x}$$

Short Solution Steps

Express 36\times \frac{81}{x} as a single fraction.

$$\frac{81}{18x}+\frac{36\times 81}{x}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 18x and x is 18x. Multiply \frac{36\times 81}{x} times \frac{18}{18}.

$$\frac{81}{18x}+\frac{18\times 36\times 81}{18x}$$

Since \frac{81}{18x} and \frac{18\times 36\times 81}{18x} have the same denominator, add them by adding their numerators.

$$\frac{81+18\times 36\times 81}{18x}$$

Do the multiplications in 81+18\times 36\times 81.

$$\frac{81+52488}{18x}$$

Do the calculations in 81+52488.

$$\frac{52569}{18x}$$

Differentiate w.r.t. x

$$-\frac{5841}{2x^{2}}$$