Solve 12*left(1/18+1/12right)

$$12 \times \left( \frac{ 1 }{ 18 } + \frac{ 1 }{ 12 } \right)$$

Evaluate

$$\frac{5}{3}\approx 1.666666667$$

Solution Steps

Least common multiple of 18 and 12 is 36. Convert \frac{1}{18} and \frac{1}{12} to fractions with denominator 36.

$$12\left(\frac{2}{36}+\frac{3}{36}\right)$$

Since \frac{2}{36} and \frac{3}{36} have the same denominator, add them by adding their numerators.

$$12\times \frac{2+3}{36}$$

Add 2 and 3 to get 5.

$$12\times \frac{5}{36}$$

Express 12\times \frac{5}{36} as a single fraction.

$$\frac{12\times 5}{36}$$

Multiply 12 and 5 to get 60.

$$\frac{60}{36}$$

Reduce the fraction \frac{60}{36} to lowest terms by extracting and canceling out 12.

$$\frac{5}{3}$$

Factor

$$\frac{5}{3} = 1\frac{2}{3} = 1.6666666666666667$$