Solve 2*22/7*2.5(2.5+28)

$$2 \times \frac{ 22 }{ 7 } \times 2.5(2.5+28)$$

Evaluate

$$\frac{3355}{7}\approx 479.285714286$$

Solution Steps

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

$$\frac{2\times 22}{7}\times 2.5\left(2.5+28\right)$$

Multiply 2 and 22 to get 44.

$$\frac{44}{7}\times 2.5\left(2.5+28\right)$$

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.

$$\frac{44}{7}\times \frac{5}{2}\left(2.5+28\right)$$

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

$$\frac{44\times 5}{7\times 2}\left(2.5+28\right)$$

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

$$\frac{220}{14}\left(2.5+28\right)$$

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

$$\frac{110}{7}\left(2.5+28\right)$$

Add 2.5 and 28 to get 30.5.

$$\frac{110}{7}\times 30.5$$

Convert decimal number 30.5 to fraction \frac{305}{10}. Reduce the fraction \frac{305}{10} to lowest terms by extracting and canceling out 5.

$$\frac{110}{7}\times \frac{61}{2}$$

Multiply \frac{110}{7} times \frac{61}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{110\times 61}{7\times 2}$$

Do the multiplications in the fraction \frac{110\times 61}{7\times 2}.

$$\frac{6710}{14}$$

Reduce the fraction \frac{6710}{14} to lowest terms by extracting and canceling out 2.

$$\frac{3355}{7}$$

Factor

$$\frac{5 \cdot 11 \cdot 61}{7} = 479\frac{2}{7} = 479.2857142857143$$