Solve 2*22/7*2.25(9.5+2.25)

$$2 \times \frac{ 22 }{ 7 } \times 2.25(9.5+2.25)$$

Evaluate

$$\frac{4653}{28}\approx 166.178571429$$

Solution Steps

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

$$\frac{2\times 22}{7}\times 2.25\left(9.5+2.25\right)$$

Multiply 2 and 22 to get 44.

$$\frac{44}{7}\times 2.25\left(9.5+2.25\right)$$

Convert decimal number 2.25 to fraction \frac{225}{100}. Reduce the fraction \frac{225}{100} to lowest terms by extracting and canceling out 25.

$$\frac{44}{7}\times \frac{9}{4}\left(9.5+2.25\right)$$

Multiply \frac{44}{7} times \frac{9}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{44\times 9}{7\times 4}\left(9.5+2.25\right)$$

Do the multiplications in the fraction \frac{44\times 9}{7\times 4}.

$$\frac{396}{28}\left(9.5+2.25\right)$$

Reduce the fraction \frac{396}{28} to lowest terms by extracting and canceling out 4.

$$\frac{99}{7}\left(9.5+2.25\right)$$

Add 9.5 and 2.25 to get 11.75.

$$\frac{99}{7}\times 11.75$$

Convert decimal number 11.75 to fraction \frac{1175}{100}. Reduce the fraction \frac{1175}{100} to lowest terms by extracting and canceling out 25.

$$\frac{99}{7}\times \frac{47}{4}$$

Multiply \frac{99}{7} times \frac{47}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{99\times 47}{7\times 4}$$

Do the multiplications in the fraction \frac{99\times 47}{7\times 4}.

$$\frac{4653}{28}$$

Factor

$$\frac{11 \cdot 47 \cdot 3 ^ {2}}{7 \cdot 2 ^ {2}} = 166\frac{5}{28} = 166.17857142857142$$