Solve =1div(1/12+1/18)

$$= 1 \div ( \frac { 1 } { 12 } + \frac { 1 } { 18 } )$$

Evaluate

$$\frac{36}{5}=7.2$$

Solution Steps

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

$$\frac{1}{\frac{3}{36}+\frac{2}{36}}$$

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

$$\frac{1}{\frac{3+2}{36}}$$

Add 3 and 2 to get 5.

$$\frac{1}{\frac{5}{36}}$$

Divide 1 by \frac{5}{36} by multiplying 1 by the reciprocal of \frac{5}{36}.

$$1\times \frac{36}{5}$$

Multiply 1 and \frac{36}{5} to get \frac{36}{5}.

$$\frac{36}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5} = 7\frac{1}{5} = 7.2$$