Solve 1/frac{1{33}+1/12}

$$\frac { 1 } { \frac { 1 } { 33 } + \frac { 1 } { 12 } }$$

Evaluate

$$\frac{44}{5}=8.8$$

Solution Steps

Least common multiple of 33 and 12 is 132. Convert \frac{1}{33} and \frac{1}{12} to fractions with denominator 132.

$$\frac{1}{\frac{4}{132}+\frac{11}{132}}$$

Since \frac{4}{132} and \frac{11}{132} have the same denominator, add them by adding their numerators.

$$\frac{1}{\frac{4+11}{132}}$$

Add 4 and 11 to get 15.

$$\frac{1}{\frac{15}{132}}$$

Reduce the fraction \frac{15}{132} to lowest terms by extracting and canceling out 3.

$$\frac{1}{\frac{5}{44}}$$

Divide 1 by \frac{5}{44} by multiplying 1 by the reciprocal of \frac{5}{44}.

$$1\times \frac{44}{5}$$

Multiply 1 and \frac{44}{5} to get \frac{44}{5}.

$$\frac{44}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 11}{5} = 8\frac{4}{5} = 8.8$$