Solve 31/12-11/4

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

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Multiply 3 and 12 to get 36.

$$\frac{36+1}{12}-\frac{1\times 4+1}{4}$$

Add 36 and 1 to get 37.

$$\frac{37}{12}-\frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{37}{12}-\frac{4+1}{4}$$

Add 4 and 1 to get 5.

$$\frac{37}{12}-\frac{5}{4}$$

Least common multiple of 12 and 4 is 12. Convert \frac{37}{12} and \frac{5}{4} to fractions with denominator 12.

$$\frac{37}{12}-\frac{15}{12}$$

Since \frac{37}{12} and \frac{15}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{37-15}{12}$$

Subtract 15 from 37 to get 22.

$$\frac{22}{12}$$

Reduce the fraction \frac{22}{12} to lowest terms by extracting and canceling out 2.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$