Solve 200100*10/100left(100+10right)+100*10

$$200 \frac{ 100 \cdot 10 }{ 100 \left( 100+10 \right) +100 \cdot 10 }$$

Evaluate

$$\frac{50}{3}\approx 16.666666667$$

Solution Steps

Multiply 100 and 10 to get 1000.

$$200\times \frac{1000}{100\left(100+10\right)+100\times 10}$$

Add 100 and 10 to get 110.

$$200\times \frac{1000}{100\times 110+100\times 10}$$

Multiply 100 and 110 to get 11000.

$$200\times \frac{1000}{11000+100\times 10}$$

Multiply 100 and 10 to get 1000.

$$200\times \frac{1000}{11000+1000}$$

Add 11000 and 1000 to get 12000.

$$200\times \frac{1000}{12000}$$

Reduce the fraction \frac{1000}{12000} to lowest terms by extracting and canceling out 1000.

$$200\times \frac{1}{12}$$

Multiply 200 and \frac{1}{12} to get \frac{200}{12}.

$$\frac{200}{12}$$

Reduce the fraction \frac{200}{12} to lowest terms by extracting and canceling out 4.

$$\frac{50}{3}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{3} = 16\frac{2}{3} = 16.666666666666668$$