Solve 4700+(10000*2200/10000+22000)

$$4700 + ( \frac { 10000 \cdot 2200 } { 10000 + 22000 } )$$

Evaluate

$$\frac{10775}{2}=5387.5$$

Solution Steps

Multiply 10000 and 2200 to get 22000000.

$$4700+\frac{22000000}{10000+22000}$$

Add 10000 and 22000 to get 32000.

$$4700+\frac{22000000}{32000}$$

Reduce the fraction \frac{22000000}{32000} to lowest terms by extracting and canceling out 16000.

$$4700+\frac{1375}{2}$$

Convert 4700 to fraction \frac{9400}{2}.

$$\frac{9400}{2}+\frac{1375}{2}$$

Since \frac{9400}{2} and \frac{1375}{2} have the same denominator, add them by adding their numerators.

$$\frac{9400+1375}{2}$$

Add 9400 and 1375 to get 10775.

$$\frac{10775}{2}$$

Factor

$$\frac{5 ^ {2} \cdot 431}{2} = 5387\frac{1}{2} = 5387.5$$