Solve 82/3-31/12

$$8 \frac { 2 } { 3 } - 3 \frac { 1 } { 12 }$$

Evaluate

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

Solution Steps

Multiply 8 and 3 to get 24.

$$\frac{24+2}{3}-\frac{3\times 12+1}{12}$$

Add 24 and 2 to get 26.

$$\frac{26}{3}-\frac{3\times 12+1}{12}$$

Multiply 3 and 12 to get 36.

$$\frac{26}{3}-\frac{36+1}{12}$$

Add 36 and 1 to get 37.

$$\frac{26}{3}-\frac{37}{12}$$

Least common multiple of 3 and 12 is 12. Convert \frac{26}{3} and \frac{37}{12} to fractions with denominator 12.

$$\frac{104}{12}-\frac{37}{12}$$

Since \frac{104}{12} and \frac{37}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{104-37}{12}$$

Subtract 37 from 104 to get 67.

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

Factor

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