Solve 5/2(4/5)-5/6(4/5)

$$\frac{ 5 }{ 2 } ( \frac{ 4 }{ 5 } )- \frac{ 5 }{ 6 } ( \frac{ 4 }{ 5 } )$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

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

$$\frac{5\times 4}{2\times 5}-\frac{5}{6}\times \frac{4}{5}$$

Cancel out 5 in both numerator and denominator.

$$\frac{4}{2}-\frac{5}{6}\times \frac{4}{5}$$

Divide 4 by 2 to get 2.

$$2-\frac{5}{6}\times \frac{4}{5}$$

Multiply \frac{5}{6} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$2-\frac{5\times 4}{6\times 5}$$

Cancel out 5 in both numerator and denominator.

$$2-\frac{4}{6}$$

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$2-\frac{2}{3}$$

Convert 2 to fraction \frac{6}{3}.

$$\frac{6}{3}-\frac{2}{3}$$

Since \frac{6}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-2}{3}$$

Subtract 2 from 6 to get 4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$