Solve 22*18*18*3+2*22/7*18*4*4/7

$$\frac { 22 \times 18 \times 18 \cdot 3 + 2 \times \frac { 22 } { 7 } \times 18 \times 4 \cdot 4 } { 7 }$$

Evaluate

$$\frac{162360}{49}\approx 3313.469387755$$

Solution Steps

Multiply 22 and 18 to get 396.

$$\frac{396\times 18\times 3+2\times \frac{22}{7}\times 18\times 4\times 4}{7}$$

Multiply 396 and 18 to get 7128.

$$\frac{7128\times 3+2\times \frac{22}{7}\times 18\times 4\times 4}{7}$$

Multiply 7128 and 3 to get 21384.

$$\frac{21384+2\times \frac{22}{7}\times 18\times 4\times 4}{7}$$

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

$$\frac{21384+\frac{2\times 22}{7}\times 18\times 4\times 4}{7}$$

Multiply 2 and 22 to get 44.

$$\frac{21384+\frac{44}{7}\times 18\times 4\times 4}{7}$$

Express \frac{44}{7}\times 18 as a single fraction.

$$\frac{21384+\frac{44\times 18}{7}\times 4\times 4}{7}$$

Multiply 44 and 18 to get 792.

$$\frac{21384+\frac{792}{7}\times 4\times 4}{7}$$

Express \frac{792}{7}\times 4 as a single fraction.

$$\frac{21384+\frac{792\times 4}{7}\times 4}{7}$$

Multiply 792 and 4 to get 3168.

$$\frac{21384+\frac{3168}{7}\times 4}{7}$$

Express \frac{3168}{7}\times 4 as a single fraction.

$$\frac{21384+\frac{3168\times 4}{7}}{7}$$

Multiply 3168 and 4 to get 12672.

$$\frac{21384+\frac{12672}{7}}{7}$$

Convert 21384 to fraction \frac{149688}{7}.

$$\frac{\frac{149688}{7}+\frac{12672}{7}}{7}$$

Since \frac{149688}{7} and \frac{12672}{7} have the same denominator, add them by adding their numerators.

$$\frac{\frac{149688+12672}{7}}{7}$$

Add 149688 and 12672 to get 162360.

$$\frac{\frac{162360}{7}}{7}$$

Express \frac{\frac{162360}{7}}{7} as a single fraction.

$$\frac{162360}{7\times 7}$$

Multiply 7 and 7 to get 49.

$$\frac{162360}{49}$$

Factor

$$\frac{2 ^ {3} \cdot 3 ^ {2} \cdot 5 \cdot 11 \cdot 41}{7 ^ {2}} = 3313\frac{23}{49} = 3313.469387755102$$