Solve 65/6-21/3

$$6 \frac { 5 } { 6 } - 2 \frac { 1 } { 3 }$$

Evaluate

$$\frac{9}{2}=4.5$$

Solution Steps

Multiply 6 and 6 to get 36.

$$\frac{36+5}{6}-\frac{2\times 3+1}{3}$$

Add 36 and 5 to get 41.

$$\frac{41}{6}-\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{41}{6}-\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{41}{6}-\frac{7}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{41}{6} and \frac{7}{3} to fractions with denominator 6.

$$\frac{41}{6}-\frac{14}{6}$$

Since \frac{41}{6} and \frac{14}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{41-14}{6}$$

Subtract 14 from 41 to get 27.

$$\frac{27}{6}$$

Reduce the fraction \frac{27}{6} to lowest terms by extracting and canceling out 3.

$$\frac{9}{2}$$

Factor

$$\frac{3 ^ {2}}{2} = 4\frac{1}{2} = 4.5$$