Solve 14/15*25/28(1-1/5)

$$\frac { 14 } { 15 } \times \frac { 25 } { 28 } ( 1 - \frac { 1 } { 5 } )$$

Evaluate

$$\frac{2}{3}\approx 0.666666667$$

Solution Steps

Multiply \frac{14}{15} times \frac{25}{28} by multiplying numerator times numerator and denominator times denominator.

$$\frac{14\times 25}{15\times 28}\left(1-\frac{1}{5}\right)$$

Do the multiplications in the fraction \frac{14\times 25}{15\times 28}.

$$\frac{350}{420}\left(1-\frac{1}{5}\right)$$

Reduce the fraction \frac{350}{420} to lowest terms by extracting and canceling out 70.

$$\frac{5}{6}\left(1-\frac{1}{5}\right)$$

Convert 1 to fraction \frac{5}{5}.

$$\frac{5}{6}\left(\frac{5}{5}-\frac{1}{5}\right)$$

Since \frac{5}{5} and \frac{1}{5} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 1 from 5 to get 4.

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

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

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

Cancel out 5 in both numerator and denominator.

$$\frac{4}{6}$$

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

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

Factor

$$\frac{2}{3} = 0.6666666666666666$$