Solve 20*100*4200*1+20*100*920*0.3/220^2

$$\frac{ 20 \times 100 \times 4200 \times 1+20 \times 100 \times 920 \times 0.3 }{ { 220 }^{ 2 } }$$

Evaluate

$$\frac{22380}{121}\approx 184.958677686$$

Solution Steps

Multiply 20 and 100 to get 2000. Multiply 20 and 100 to get 2000.

$$\frac{2000\times 4200\times 1+2000\times 920\times 0.3}{220^{2}}$$

Multiply 2000 and 4200 to get 8400000.

$$\frac{8400000\times 1+2000\times 920\times 0.3}{220^{2}}$$

Multiply 8400000 and 1 to get 8400000.

$$\frac{8400000+2000\times 920\times 0.3}{220^{2}}$$

Multiply 2000 and 920 to get 1840000.

$$\frac{8400000+1840000\times 0.3}{220^{2}}$$

Multiply 1840000 and 0.3 to get 552000.

$$\frac{8400000+552000}{220^{2}}$$

Add 8400000 and 552000 to get 8952000.

$$\frac{8952000}{220^{2}}$$

Calculate 220 to the power of 2 and get 48400.

$$\frac{8952000}{48400}$$

Reduce the fraction \frac{8952000}{48400} to lowest terms by extracting and canceling out 400.

$$\frac{22380}{121}$$

Factor

$$\frac{3 \cdot 5 \cdot 373 \cdot 2 ^ {2}}{11 ^ {2}} = 184\frac{116}{121} = 184.95867768595042$$