Solve left(1/14+1/3right)*2/17

$$\left( \frac{ 1 }{ 14 } + \frac{ 1 }{ 3 } \right) \times \frac{ 2 }{ 17 }$$

Evaluate

$$\frac{1}{21}\approx 0.047619048$$

Solution Steps

Least common multiple of 14 and 3 is 42. Convert \frac{1}{14} and \frac{1}{3} to fractions with denominator 42.

$$\left(\frac{3}{42}+\frac{14}{42}\right)\times \frac{2}{17}$$

Since \frac{3}{42} and \frac{14}{42} have the same denominator, add them by adding their numerators.

$$\frac{3+14}{42}\times \frac{2}{17}$$

Add 3 and 14 to get 17.

$$\frac{17}{42}\times \frac{2}{17}$$

Multiply \frac{17}{42} times \frac{2}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{17\times 2}{42\times 17}$$

Cancel out 17 in both numerator and denominator.

$$\frac{2}{42}$$

Reduce the fraction \frac{2}{42} to lowest terms by extracting and canceling out 2.

$$\frac{1}{21}$$

Factor

$$\frac{1}{3 \cdot 7} = 0.047619047619047616$$