Solve (8/3-5/6)*1/3

$$( \frac { 8 } { 3 } - \frac { 5 } { 6 } ) \times \frac { 1 } { 3 }$$

Evaluate

$$\frac{11}{18}\approx 0.611111111$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{8}{3} and \frac{5}{6} to fractions with denominator 6.

$$\left(\frac{16}{6}-\frac{5}{6}\right)\times \frac{1}{3}$$

Since \frac{16}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{16-5}{6}\times \frac{1}{3}$$

Subtract 5 from 16 to get 11.

$$\frac{11}{6}\times \frac{1}{3}$$

Multiply \frac{11}{6} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 1}{6\times 3}$$

Do the multiplications in the fraction \frac{11\times 1}{6\times 3}.

$$\frac{11}{18}$$

Factor

$$\frac{11}{2 \cdot 3 ^ {2}} = 0.6111111111111112$$