Solve 51/6-15/6

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

Evaluate

$$\frac{10}{3}\approx 3.333333333$$

Solution Steps

Multiply 5 and 6 to get 30.

$$\frac{30+1}{6}-\frac{1\times 6+5}{6}$$

Add 30 and 1 to get 31.

$$\frac{31}{6}-\frac{1\times 6+5}{6}$$

Multiply 1 and 6 to get 6.

$$\frac{31}{6}-\frac{6+5}{6}$$

Add 6 and 5 to get 11.

$$\frac{31}{6}-\frac{11}{6}$$

Since \frac{31}{6} and \frac{11}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{31-11}{6}$$

Subtract 11 from 31 to get 20.

$$\frac{20}{6}$$

Reduce the fraction \frac{20}{6} to lowest terms by extracting and canceling out 2.

$$\frac{10}{3}$$

Factor

$$\frac{2 \cdot 5}{3} = 3\frac{1}{3} = 3.3333333333333335$$