Solve 1/frac{1{2}+1/3}=

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

Evaluate

$$\frac{6}{5}=1.2$$

Solution Steps

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

$$\frac{1}{\frac{3}{6}+\frac{2}{6}}$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{3+2}{6}}$$

Add 3 and 2 to get 5.

$$\frac{1}{\frac{5}{6}}$$

Divide 1 by \frac{5}{6} by multiplying 1 by the reciprocal of \frac{5}{6}.

$$1\times \frac{6}{5}$$

Multiply 1 and \frac{6}{5} to get \frac{6}{5}.

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

Factor

$$\frac{2 \cdot 3}{5} = 1\frac{1}{5} = 1.2$$