Solve 4*7/13+9*2x/x^2

$$\frac { 4 \cdot 7 } { 13 } + 9 \cdot \frac { 2 x } { x ^ { 2 } }$$

Evaluate

$$\frac{28}{13}+\frac{18}{x}$$

Short Solution Steps

Multiply 4 and 7 to get 28.

$$\frac{28}{13}+9\times \frac{2x}{x^{2}}$$

Cancel out x in both numerator and denominator.

$$\frac{28}{13}+9\times \frac{2}{x}$$

Express 9\times \frac{2}{x} as a single fraction.

$$\frac{28}{13}+\frac{9\times 2}{x}$$

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 13 and x is 13x. Multiply \frac{28}{13} times \frac{x}{x}. Multiply \frac{9\times 2}{x} times \frac{13}{13}.

$$\frac{28x}{13x}+\frac{13\times 9\times 2}{13x}$$

Since \frac{28x}{13x} and \frac{13\times 9\times 2}{13x} have the same denominator, add them by adding their numerators.

$$\frac{28x+13\times 9\times 2}{13x}$$

Do the multiplications in 28x+13\times 9\times 2.

$$\frac{28x+234}{13x}$$

Factor

$$\frac{2\left(14x+117\right)}{13x}$$