Solve (5/3)(2)(4/5)

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

Evaluate

$$\frac{8}{3}\approx 2.666666667$$

Solution Steps

Express \frac{5}{3}\times 2 as a single fraction.

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

Multiply 5 and 2 to get 10.

$$\frac{10}{3}\times \frac{4}{5}$$

Multiply \frac{10}{3} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{10\times 4}{3\times 5}$$

Do the multiplications in the fraction \frac{10\times 4}{3\times 5}.

$$\frac{40}{15}$$

Reduce the fraction \frac{40}{15} to lowest terms by extracting and canceling out 5.

$$\frac{8}{3}$$

Factor

$$\frac{2 ^ {3}}{3} = 2\frac{2}{3} = 2.6666666666666665$$