Solve 32/2*5/3*2/5*1/3*frac{4}{5}=

$$\frac { 32 } { 2 } \cdot \frac { 5 } { 3 } \cdot \frac { 2 } { 5 } \cdot \frac { 1 } { 3 } \cdot \frac { 4 } { 5 } =$$

Evaluate

$$\frac{128}{45}\approx 2.844444444$$

Solution Steps

Divide 32 by 2 to get 16.

$$16\times \frac{5}{3}\times \frac{2}{5}\times \frac{1}{3}\times \frac{4}{5}$$

Express 16\times \frac{5}{3} as a single fraction.

$$\frac{16\times 5}{3}\times \frac{2}{5}\times \frac{1}{3}\times \frac{4}{5}$$

Multiply 16 and 5 to get 80.

$$\frac{80}{3}\times \frac{2}{5}\times \frac{1}{3}\times \frac{4}{5}$$

Multiply \frac{80}{3} times \frac{2}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{80\times 2}{3\times 5}\times \frac{1}{3}\times \frac{4}{5}$$

Do the multiplications in the fraction \frac{80\times 2}{3\times 5}.

$$\frac{160}{15}\times \frac{1}{3}\times \frac{4}{5}$$

Reduce the fraction \frac{160}{15} to lowest terms by extracting and canceling out 5.

$$\frac{32}{3}\times \frac{1}{3}\times \frac{4}{5}$$

Multiply \frac{32}{3} times \frac{1}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{32\times 1}{3\times 3}\times \frac{4}{5}$$

Do the multiplications in the fraction \frac{32\times 1}{3\times 3}.

$$\frac{32}{9}\times \frac{4}{5}$$

Multiply \frac{32}{9} times \frac{4}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{32\times 4}{9\times 5}$$

Do the multiplications in the fraction \frac{32\times 4}{9\times 5}.

$$\frac{128}{45}$$

Factor

$$\frac{2 ^ {7}}{3 ^ {2} \cdot 5} = 2\frac{38}{45} = 2.8444444444444446$$