Solve 5/frac{1{2}-1/3div4}

$$\frac { 5 } { \frac { 1 } { 2 } - \frac { 1 } { 3 } \div 4 }$$

Evaluate

$$12$$

Solution Steps

Express \frac{\frac{1}{3}}{4} as a single fraction.

$$\frac{5}{\frac{1}{2}-\frac{1}{3\times 4}}$$

Multiply 3 and 4 to get 12.

$$\frac{5}{\frac{1}{2}-\frac{1}{12}}$$

Least common multiple of 2 and 12 is 12. Convert \frac{1}{2} and \frac{1}{12} to fractions with denominator 12.

$$\frac{5}{\frac{6}{12}-\frac{1}{12}}$$

Since \frac{6}{12} and \frac{1}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{\frac{6-1}{12}}$$

Subtract 1 from 6 to get 5.

$$\frac{5}{\frac{5}{12}}$$

Divide 5 by \frac{5}{12} by multiplying 5 by the reciprocal of \frac{5}{12}.

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

Cancel out 5 and 5.

$$12$$

Factor

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