Solve 8/9-8/15*5/6

$$\frac{ 8 }{ 9 } - \frac{ 8 }{ 15 } \times \frac { 5 } { 6 }$$

Evaluate

$$\frac{4}{9}\approx 0.444444444$$

Solution Steps

Multiply \frac{8}{15} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{8}{9}-\frac{8\times 5}{15\times 6}$$

Do the multiplications in the fraction \frac{8\times 5}{15\times 6}.

$$\frac{8}{9}-\frac{40}{90}$$

Reduce the fraction \frac{40}{90} to lowest terms by extracting and canceling out 10.

$$\frac{8}{9}-\frac{4}{9}$$

Since \frac{8}{9} and \frac{4}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{8-4}{9}$$

Subtract 4 from 8 to get 4.

$$\frac{4}{9}$$

Factor

$$\frac{2 ^ {2}}{3 ^ {2}} = 0.4444444444444444$$