Solve 671/2-362/3

$$67 \frac { 1 } { 2 } - 36 \frac { 2 } { 3 }$$

Evaluate

$$\frac{185}{6}\approx 30.833333333$$

Solution Steps

Multiply 67 and 2 to get 134.

$$\frac{134+1}{2}-\frac{36\times 3+2}{3}$$

Add 134 and 1 to get 135.

$$\frac{135}{2}-\frac{36\times 3+2}{3}$$

Multiply 36 and 3 to get 108.

$$\frac{135}{2}-\frac{108+2}{3}$$

Add 108 and 2 to get 110.

$$\frac{135}{2}-\frac{110}{3}$$

Least common multiple of 2 and 3 is 6. Convert \frac{135}{2} and \frac{110}{3} to fractions with denominator 6.

$$\frac{405}{6}-\frac{220}{6}$$

Since \frac{405}{6} and \frac{220}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{405-220}{6}$$

Subtract 220 from 405 to get 185.

$$\frac{185}{6}$$

Factor

$$\frac{5 \cdot 37}{2 \cdot 3} = 30\frac{5}{6} = 30.833333333333332$$