Solve [(4/3-5/6)*4/5]

$$[ ( \frac { 4 } { 3 } - \frac { 5 } { 6 } ) \cdot \frac { 4 } { 5 } ]$$

Evaluate

$$\frac{2}{5}=0.4$$

Solution Steps

Least common multiple of 3 and 6 is 6. Convert \frac{4}{3} and \frac{5}{6} to fractions with denominator 6.

$$\left(\frac{8}{6}-\frac{5}{6}\right)\times \frac{4}{5}$$

Since \frac{8}{6} and \frac{5}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-5}{6}\times \frac{4}{5}$$

Subtract 5 from 8 to get 3.

$$\frac{3}{6}\times \frac{4}{5}$$

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

$$\frac{1}{2}\times \frac{4}{5}$$

Multiply \frac{1}{2} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 4}{2\times 5}$$

Do the multiplications in the fraction \frac{1\times 4}{2\times 5}.

$$\frac{4}{10}$$

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

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

Factor

$$\frac{2}{5} = 0.4$$