Solve 70*550^2/45*25*20*50

$$\frac{ 70 \times { 550 }^{ 2 } }{ 45 \times 25 \times 20 \times 50 }$$

Evaluate

$$\frac{847}{45}\approx 18.822222222$$

Solution Steps

Cancel out 2\times 5 in both numerator and denominator.

$$\frac{7\times 550^{2}}{9\times 10\times 25\times 50}$$

Calculate 550 to the power of 2 and get 302500.

$$\frac{7\times 302500}{9\times 10\times 25\times 50}$$

Multiply 7 and 302500 to get 2117500.

$$\frac{2117500}{9\times 10\times 25\times 50}$$

Multiply 9 and 10 to get 90.

$$\frac{2117500}{90\times 25\times 50}$$

Multiply 90 and 25 to get 2250.

$$\frac{2117500}{2250\times 50}$$

Multiply 2250 and 50 to get 112500.

$$\frac{2117500}{112500}$$

Reduce the fraction \frac{2117500}{112500} to lowest terms by extracting and canceling out 2500.

$$\frac{847}{45}$$

Factor

$$\frac{7 \cdot 11 ^ {2}}{3 ^ {2} \cdot 5} = 18\frac{37}{45} = 18.822222222222223$$