Solve 10+12-4+(12+10)*0.01*(180+16)*430/(1-0.01*16)*22

$$\frac{ 10+12-4+(12+10) \times 0.01 \times (180+16) \times 430 }{ (1-0.01 \times 16) \times 22 }$$

Evaluate

$$\frac{231995}{231}\approx 1004.307359307$$

Solution Steps

Add 10 and 12 to get 22.

$$\frac{22-4+\left(12+10\right)\times 0.01\left(180+16\right)\times 430}{\left(1-0.01\times 16\right)\times 22}$$

Subtract 4 from 22 to get 18.

$$\frac{18+\left(12+10\right)\times 0.01\left(180+16\right)\times 430}{\left(1-0.01\times 16\right)\times 22}$$

Add 12 and 10 to get 22.

$$\frac{18+22\times 0.01\left(180+16\right)\times 430}{\left(1-0.01\times 16\right)\times 22}$$

Multiply 22 and 0.01 to get 0.22.

$$\frac{18+0.22\left(180+16\right)\times 430}{\left(1-0.01\times 16\right)\times 22}$$

Add 180 and 16 to get 196.

$$\frac{18+0.22\times 196\times 430}{\left(1-0.01\times 16\right)\times 22}$$

Multiply 0.22 and 196 to get 43.12.

$$\frac{18+43.12\times 430}{\left(1-0.01\times 16\right)\times 22}$$

Multiply 43.12 and 430 to get 18541.6.

$$\frac{18+18541.6}{\left(1-0.01\times 16\right)\times 22}$$

Add 18 and 18541.6 to get 18559.6.

$$\frac{18559.6}{\left(1-0.01\times 16\right)\times 22}$$

Multiply 0.01 and 16 to get 0.16.

$$\frac{18559.6}{\left(1-0.16\right)\times 22}$$

Subtract 0.16 from 1 to get 0.84.

$$\frac{18559.6}{0.84\times 22}$$

Multiply 0.84 and 22 to get 18.48.

$$\frac{18559.6}{18.48}$$

Expand \frac{18559.6}{18.48} by multiplying both numerator and the denominator by 100.

$$\frac{1855960}{1848}$$

Reduce the fraction \frac{1855960}{1848} to lowest terms by extracting and canceling out 8.

$$\frac{231995}{231}$$

Factor

$$\frac{5 \cdot 46399}{3 \cdot 7 \cdot 11} = 1004\frac{71}{231} = 1004.3073593073593$$