Solve 2x/frac{x{12}+x/10}

$$\frac { 2 x } { \frac { x } { 12 } + \frac { x } { 10 } }$$

Evaluate

$$\frac{120}{11}\approx 10.909090909$$

Solution Steps

Combine \frac{x}{12} and \frac{x}{10} to get \frac{11}{60}x.

$$\frac{2x}{\frac{11}{60}x}$$

Cancel out x in both numerator and denominator.

$$\frac{2}{\frac{11}{60}}$$

Divide 2 by \frac{11}{60} by multiplying 2 by the reciprocal of \frac{11}{60}.

$$2\times \frac{60}{11}$$

Express 2\times \frac{60}{11} as a single fraction.

$$\frac{2\times 60}{11}$$

Multiply 2 and 60 to get 120.

$$\frac{120}{11}$$

Factor

$$\frac{2 ^ {3} \cdot 3 \cdot 5}{11} = 10\frac{10}{11} = 10.909090909090908$$