Solve 85/6-61/3

$$8 \frac { 5 } { 6 } - 6 \frac { 1 } { 3 }$$

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Multiply 8 and 6 to get 48.

$$\frac{48+5}{6}-\frac{6\times 3+1}{3}$$

Add 48 and 5 to get 53.

$$\frac{53}{6}-\frac{6\times 3+1}{3}$$

Multiply 6 and 3 to get 18.

$$\frac{53}{6}-\frac{18+1}{3}$$

Add 18 and 1 to get 19.

$$\frac{53}{6}-\frac{19}{3}$$

Least common multiple of 6 and 3 is 6. Convert \frac{53}{6} and \frac{19}{3} to fractions with denominator 6.

$$\frac{53}{6}-\frac{38}{6}$$

Since \frac{53}{6} and \frac{38}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{53-38}{6}$$

Subtract 38 from 53 to get 15.

$$\frac{15}{6}$$

Reduce the fraction \frac{15}{6} to lowest terms by extracting and canceling out 3.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$