Solve (7/15-4/15)*5/6

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

Evaluate

$$\frac{1}{6}\approx 0.166666667$$

Solution Steps

Since \frac{7}{15} and \frac{4}{15} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 4 from 7 to get 3.

$$\frac{3}{15}\times \frac{5}{6}$$

Reduce the fraction \frac{3}{15} to lowest terms by extracting and canceling out 3.

$$\frac{1}{5}\times \frac{5}{6}$$

Multiply \frac{1}{5} times \frac{5}{6} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 5}{5\times 6}$$

Cancel out 5 in both numerator and denominator.

$$\frac{1}{6}$$

Factor

$$\frac{1}{2 \cdot 3} = 0.16666666666666666$$