Solve 2*(11/6-3/4)

$$2 \times ( 1 \frac { 1 } { 6 } - \frac { 3 } { 4 } )$$

Evaluate

$$\frac{5}{6}\approx 0.833333333$$

Solution Steps

Multiply 1 and 6 to get 6.

$$2\left(\frac{6+1}{6}-\frac{3}{4}\right)$$

Add 6 and 1 to get 7.

$$2\left(\frac{7}{6}-\frac{3}{4}\right)$$

Least common multiple of 6 and 4 is 12. Convert \frac{7}{6} and \frac{3}{4} to fractions with denominator 12.

$$2\left(\frac{14}{12}-\frac{9}{12}\right)$$

Since \frac{14}{12} and \frac{9}{12} have the same denominator, subtract them by subtracting their numerators.

$$2\times \frac{14-9}{12}$$

Subtract 9 from 14 to get 5.

$$2\times \frac{5}{12}$$

Express 2\times \frac{5}{12} as a single fraction.

$$\frac{2\times 5}{12}$$

Multiply 2 and 5 to get 10.

$$\frac{10}{12}$$

Reduce the fraction \frac{10}{12} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}$$

Factor

$$\frac{5}{2 \cdot 3} = 0.8333333333333334$$