Solve 2*22/7*2.5*2800

$$2 \times \frac { 22 } { 7 } \times 2.5 \times 2800$$

Evaluate

$$44000$$

Solution Steps

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

$$\frac{2\times 22}{7}\times 2.5\times 2800$$

Multiply 2 and 22 to get 44.

$$\frac{44}{7}\times 2.5\times 2800$$

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.

$$\frac{44}{7}\times \frac{5}{2}\times 2800$$

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

$$\frac{44\times 5}{7\times 2}\times 2800$$

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

$$\frac{220}{14}\times 2800$$

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

$$\frac{110}{7}\times 2800$$

Express \frac{110}{7}\times 2800 as a single fraction.

$$\frac{110\times 2800}{7}$$

Multiply 110 and 2800 to get 308000.

$$\frac{308000}{7}$$

Divide 308000 by 7 to get 44000.

$$44000$$

Factor

$$11\times 2^{5}\times 5^{3}$$