Solve 31/6-(5/6+15/6)=

$$3 \frac { 1 } { 6 } - ( \frac { 5 } { 6 } + 1 \frac { 5 } { 6 } ) =$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply 3 and 6 to get 18.

$$\frac{18+1}{6}-\left(\frac{5}{6}+\frac{1\times 6+5}{6}\right)$$

Add 18 and 1 to get 19.

$$\frac{19}{6}-\left(\frac{5}{6}+\frac{1\times 6+5}{6}\right)$$

Multiply 1 and 6 to get 6.

$$\frac{19}{6}-\left(\frac{5}{6}+\frac{6+5}{6}\right)$$

Add 6 and 5 to get 11.

$$\frac{19}{6}-\left(\frac{5}{6}+\frac{11}{6}\right)$$

Since \frac{5}{6} and \frac{11}{6} have the same denominator, add them by adding their numerators.

$$\frac{19}{6}-\frac{5+11}{6}$$

Add 5 and 11 to get 16.

$$\frac{19}{6}-\frac{16}{6}$$

Since \frac{19}{6} and \frac{16}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{19-16}{6}$$

Subtract 16 from 19 to get 3.

$$\frac{3}{6}$$

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

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$