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

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

Evaluate

$$\frac{36}{13}\approx 2.769230769$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

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

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

$$\frac{3}{\frac{16}{12}-\frac{3}{12}}$$

Since \frac{16}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3}{\frac{16-3}{12}}$$

Subtract 3 from 16 to get 13.

$$\frac{3}{\frac{13}{12}}$$

Divide 3 by \frac{13}{12} by multiplying 3 by the reciprocal of \frac{13}{12}.

$$3\times \frac{12}{13}$$

Express 3\times \frac{12}{13} as a single fraction.

$$\frac{3\times 12}{13}$$

Multiply 3 and 12 to get 36.

$$\frac{36}{13}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{13} = 2\frac{10}{13} = 2.769230769230769$$