Solve 2*22/7*2.5*3.2

$$2 \times \frac{ 22 }{ 7 } \times 2.5 \times 3.2$$

Evaluate

$$\frac{352}{7}\approx 50.285714286$$

Solution Steps

Express 2\times \frac{22}{7} as a single fraction.

$$\frac{2\times 22}{7}\times 2.5\times 3.2$$

Multiply 2 and 22 to get 44.

$$\frac{44}{7}\times 2.5\times 3.2$$

Convert decimal number 2.5 to fraction \frac{25}{10}. Reduce the fraction \frac{25}{10} to lowest terms by extracting and canceling out 5.

$$\frac{44}{7}\times \frac{5}{2}\times 3.2$$

Multiply \frac{44}{7} times \frac{5}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 5}{7\times 2}\times 3.2$$

Do the multiplications in the fraction \frac{44\times 5}{7\times 2}.

$$\frac{220}{14}\times 3.2$$

Reduce the fraction \frac{220}{14} to lowest terms by extracting and canceling out 2.

$$\frac{110}{7}\times 3.2$$

Convert decimal number 3.2 to fraction \frac{32}{10}. Reduce the fraction \frac{32}{10} to lowest terms by extracting and canceling out 2.

$$\frac{110}{7}\times \frac{16}{5}$$

Multiply \frac{110}{7} times \frac{16}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{110\times 16}{7\times 5}$$

Do the multiplications in the fraction \frac{110\times 16}{7\times 5}.

$$\frac{1760}{35}$$

Reduce the fraction \frac{1760}{35} to lowest terms by extracting and canceling out 5.

$$\frac{352}{7}$$

Factor

$$\frac{11 \cdot 2 ^ {5}}{7} = 50\frac{2}{7} = 50.285714285714285$$