Solve 89/12-31/6=

$$8 \frac { 9 } { 12 } - 3 \frac { 1 } { 6 } =$$

Evaluate

$$\frac{67}{12}\approx 5.583333333$$

Solution Steps

Multiply 8 and 12 to get 96.

$$\frac{96+9}{12}-\frac{3\times 6+1}{6}$$

Add 96 and 9 to get 105.

$$\frac{105}{12}-\frac{3\times 6+1}{6}$$

Reduce the fraction \frac{105}{12} to lowest terms by extracting and canceling out 3.

$$\frac{35}{4}-\frac{3\times 6+1}{6}$$

Multiply 3 and 6 to get 18.

$$\frac{35}{4}-\frac{18+1}{6}$$

Add 18 and 1 to get 19.

$$\frac{35}{4}-\frac{19}{6}$$

Least common multiple of 4 and 6 is 12. Convert \frac{35}{4} and \frac{19}{6} to fractions with denominator 12.

$$\frac{105}{12}-\frac{38}{12}$$

Since \frac{105}{12} and \frac{38}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-38}{12}$$

Subtract 38 from 105 to get 67.

$$\frac{67}{12}$$

Factor

$$\frac{67}{2 ^ {2} \cdot 3} = 5\frac{7}{12} = 5.583333333333333$$