Solve 31/3-1/4

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

Evaluate

$$\frac{37}{12}\approx 3.083333333$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}-\frac{1}{4}$$

Add 9 and 1 to get 10.

$$\frac{10}{3}-\frac{1}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{10}{3} and \frac{1}{4} to fractions with denominator 12.

$$\frac{40}{12}-\frac{3}{12}$$

Since \frac{40}{12} and \frac{3}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-3}{12}$$

Subtract 3 from 40 to get 37.

$$\frac{37}{12}$$

Factor

$$\frac{37}{2 ^ {2} \cdot 3} = 3\frac{1}{12} = 3.0833333333333335$$