Solve 1/5/frac{1{3}-1/4}

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

Evaluate

$$\frac{12}{5}=2.4$$

Solution Steps

Least common multiple of 3 and 4 is 12. Convert \frac{1}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{\frac{1}{5}}{\frac{4}{12}-\frac{3}{12}}$$

Since \frac{4}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{1}{5}}{\frac{4-3}{12}}$$

Subtract 3 from 4 to get 1.

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

Divide \frac{1}{5} by \frac{1}{12} by multiplying \frac{1}{5} by the reciprocal of \frac{1}{12}.

$$\frac{1}{5}\times 12$$

Multiply \frac{1}{5} and 12 to get \frac{12}{5}.

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

Factor

$$\frac{2 ^ {2} \cdot 3}{5} = 2\frac{2}{5} = 2.4$$