Solve 4200*12*70-4200*1*(100-70)-22.6*10^5*100/4200*12

$$\frac{ 4200 \times 12 \times 70-4200 \times 1 \times (100-70)-22.6 \times { 10 }^{ 5 } \times 100 }{ 4200 \times 12 }$$

Evaluate

$$-\frac{556495}{126}\approx -4416.626984127$$

Solution Steps

Multiply 4200 and 12 to get 50400.

$$\frac{50400\times 70-4200\times 1\left(100-70\right)-22.6\times 10^{5}\times 100}{4200\times 12}$$

Multiply 50400 and 70 to get 3528000.

$$\frac{3528000-4200\times 1\left(100-70\right)-22.6\times 10^{5}\times 100}{4200\times 12}$$

Multiply 4200 and 1 to get 4200.

$$\frac{3528000-4200\left(100-70\right)-22.6\times 10^{5}\times 100}{4200\times 12}$$

Subtract 70 from 100 to get 30.

$$\frac{3528000-4200\times 30-22.6\times 10^{5}\times 100}{4200\times 12}$$

Multiply 4200 and 30 to get 126000.

$$\frac{3528000-126000-22.6\times 10^{5}\times 100}{4200\times 12}$$

Subtract 126000 from 3528000 to get 3402000.

$$\frac{3402000-22.6\times 10^{5}\times 100}{4200\times 12}$$

Calculate 10 to the power of 5 and get 100000.

$$\frac{3402000-22.6\times 100000\times 100}{4200\times 12}$$

Multiply 22.6 and 100000 to get 2260000.

$$\frac{3402000-2260000\times 100}{4200\times 12}$$

Multiply 2260000 and 100 to get 226000000.

$$\frac{3402000-226000000}{4200\times 12}$$

Subtract 226000000 from 3402000 to get -222598000.

$$\frac{-222598000}{4200\times 12}$$

Multiply 4200 and 12 to get 50400.

$$\frac{-222598000}{50400}$$

Reduce the fraction \frac{-222598000}{50400} to lowest terms by extracting and canceling out 400.

$$-\frac{556495}{126}$$

Factor

$$-\frac{556495}{126} = -4416\frac{79}{126} = -4416.626984126984$$