Solve 7/9-5/6*4/15=

$$\frac { 7 } { 9 } - \frac { 5 } { 6 } \cdot \frac { 4 } { 15 } =$$

Evaluate

$$\frac{5}{9}\approx 0.555555556$$

Solution Steps

Multiply \frac{5}{6} times \frac{4}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7}{9}-\frac{5\times 4}{6\times 15}$$

Do the multiplications in the fraction \frac{5\times 4}{6\times 15}.

$$\frac{7}{9}-\frac{20}{90}$$

Reduce the fraction \frac{20}{90} to lowest terms by extracting and canceling out 10.

$$\frac{7}{9}-\frac{2}{9}$$

Since \frac{7}{9} and \frac{2}{9} have the same denominator, subtract them by subtracting their numerators.

$$\frac{7-2}{9}$$

Subtract 2 from 7 to get 5.

$$\frac{5}{9}$$

Factor

$$\frac{5}{3 ^ {2}} = 0.5555555555555556$$