Solve 2/3(5-4/5)

$$\frac { 2 } { 3 } ( 5 - \frac { 4 } { 5 } )$$

Evaluate

$$\frac{14}{5}=2.8$$

Solution Steps

Convert 5 to fraction \frac{25}{5}.

$$\frac{2}{3}\left(\frac{25}{5}-\frac{4}{5}\right)$$

Since \frac{25}{5} and \frac{4}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{2}{3}\times \frac{25-4}{5}$$

Subtract 4 from 25 to get 21.

$$\frac{2}{3}\times \frac{21}{5}$$

Multiply \frac{2}{3} times \frac{21}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 21}{3\times 5}$$

Do the multiplications in the fraction \frac{2\times 21}{3\times 5}.

$$\frac{42}{15}$$

Reduce the fraction \frac{42}{15} to lowest terms by extracting and canceling out 3.

$$\frac{14}{5}$$

Factor

$$\frac{2 \cdot 7}{5} = 2\frac{4}{5} = 2.8$$