Solve 101/3-21/6

$$10 \frac { 1 } { 3 } - 2 \frac { 1 } { 6 }$$

Evaluate

$$\frac{49}{6}\approx 8.166666667$$

Solution Steps

Multiply 10 and 3 to get 30.

$$\frac{30+1}{3}-\frac{2\times 6+1}{6}$$

Add 30 and 1 to get 31.

$$\frac{31}{3}-\frac{2\times 6+1}{6}$$

Multiply 2 and 6 to get 12.

$$\frac{31}{3}-\frac{12+1}{6}$$

Add 12 and 1 to get 13.

$$\frac{31}{3}-\frac{13}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{31}{3} and \frac{13}{6} to fractions with denominator 6.

$$\frac{62}{6}-\frac{13}{6}$$

Since \frac{62}{6} and \frac{13}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{62-13}{6}$$

Subtract 13 from 62 to get 49.

$$\frac{49}{6}$$

Factor

$$\frac{7 ^ {2}}{2 \cdot 3} = 8\frac{1}{6} = 8.166666666666666$$