Solve (5*8/9)*3/5=

$$( 5 \times \frac { 8 } { 9 } ) \times \frac { 3 } { 5 } =$$

Evaluate

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

Solution Steps

Express 5\times \frac{8}{9} as a single fraction.

$$\frac{5\times 8}{9}\times \frac{3}{5}$$

Multiply 5 and 8 to get 40.

$$\frac{40}{9}\times \frac{3}{5}$$

Multiply \frac{40}{9} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{40\times 3}{9\times 5}$$

Do the multiplications in the fraction \frac{40\times 3}{9\times 5}.

$$\frac{120}{45}$$

Reduce the fraction \frac{120}{45} to lowest terms by extracting and canceling out 15.

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

Factor

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