Solve 31/3-(5-15/6)

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

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}-\left(5-\frac{1\times 6+5}{6}\right)$$

Add 9 and 1 to get 10.

$$\frac{10}{3}-\left(5-\frac{1\times 6+5}{6}\right)$$

Multiply 1 and 6 to get 6.

$$\frac{10}{3}-\left(5-\frac{6+5}{6}\right)$$

Add 6 and 5 to get 11.

$$\frac{10}{3}-\left(5-\frac{11}{6}\right)$$

Convert 5 to fraction \frac{30}{6}.

$$\frac{10}{3}-\left(\frac{30}{6}-\frac{11}{6}\right)$$

Since \frac{30}{6} and \frac{11}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{10}{3}-\frac{30-11}{6}$$

Subtract 11 from 30 to get 19.

$$\frac{10}{3}-\frac{19}{6}$$

Least common multiple of 3 and 6 is 6. Convert \frac{10}{3} and \frac{19}{6} to fractions with denominator 6.

$$\frac{20}{6}-\frac{19}{6}$$

Since \frac{20}{6} and \frac{19}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-19}{6}$$

Subtract 19 from 20 to get 1.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$