Solve (1/6+2/5)*2

$$( \frac { 1 } { 6 } + \frac { 2 } { 5 } ) \cdot 2$$

Evaluate

$$\frac{17}{15}\approx 1.133333333$$

Solution Steps

Least common multiple of 6 and 5 is 30. Convert \frac{1}{6} and \frac{2}{5} to fractions with denominator 30.

$$\left(\frac{5}{30}+\frac{12}{30}\right)\times 2$$

Since \frac{5}{30} and \frac{12}{30} have the same denominator, add them by adding their numerators.

$$\frac{5+12}{30}\times 2$$

Add 5 and 12 to get 17.

$$\frac{17}{30}\times 2$$

Express \frac{17}{30}\times 2 as a single fraction.

$$\frac{17\times 2}{30}$$

Multiply 17 and 2 to get 34.

$$\frac{34}{30}$$

Reduce the fraction \frac{34}{30} to lowest terms by extracting and canceling out 2.

$$\frac{17}{15}$$

Factor

$$\frac{17}{3 \cdot 5} = 1\frac{2}{15} = 1.1333333333333333$$