Solve 10/frac{1{12}+1/6}

$$\frac { 10 } { \frac { 1 } { 12 } + \frac { 1 } { 6 } }$$

Evaluate

$$40$$

Solution Steps

Least common multiple of 12 and 6 is 12. Convert \frac{1}{12} and \frac{1}{6} to fractions with denominator 12.

$$\frac{10}{\frac{1}{12}+\frac{2}{12}}$$

Since \frac{1}{12} and \frac{2}{12} have the same denominator, add them by adding their numerators.

$$\frac{10}{\frac{1+2}{12}}$$

Add 1 and 2 to get 3.

$$\frac{10}{\frac{3}{12}}$$

Reduce the fraction \frac{3}{12} to lowest terms by extracting and canceling out 3.

$$\frac{10}{\frac{1}{4}}$$

Divide 10 by \frac{1}{4} by multiplying 10 by the reciprocal of \frac{1}{4}.

$$10\times 4$$

Multiply 10 and 4 to get 40.

$$40$$

Factor

$$2^{3}\times 5$$