Solve 31/3-11/4

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

Evaluate

$$\frac{25}{12}\approx 2.083333333$$

Solution Steps

Multiply 3 and 3 to get 9.

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

Add 9 and 1 to get 10.

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

Multiply 1 and 4 to get 4.

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

Add 4 and 1 to get 5.

$$\frac{10}{3}-\frac{5}{4}$$

Least common multiple of 3 and 4 is 12. Convert \frac{10}{3} and \frac{5}{4} to fractions with denominator 12.

$$\frac{40}{12}-\frac{15}{12}$$

Since \frac{40}{12} and \frac{15}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-15}{12}$$

Subtract 15 from 40 to get 25.

$$\frac{25}{12}$$

Factor

$$\frac{5 ^ {2}}{2 ^ {2} \cdot 3} = 2\frac{1}{12} = 2.0833333333333335$$