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

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

Evaluate

$$\frac{396700}{61}\approx 6503.278688525$$

Solution Steps

Multiply 10000 and 2200 to get 22000000.

$$4700+\frac{22000000}{10000+2200}$$

Add 10000 and 2200 to get 12200.

$$4700+\frac{22000000}{12200}$$

Reduce the fraction \frac{22000000}{12200} to lowest terms by extracting and canceling out 200.

$$4700+\frac{110000}{61}$$

Convert 4700 to fraction \frac{286700}{61}.

$$\frac{286700}{61}+\frac{110000}{61}$$

Since \frac{286700}{61} and \frac{110000}{61} have the same denominator, add them by adding their numerators.

$$\frac{286700+110000}{61}$$

Add 286700 and 110000 to get 396700.

$$\frac{396700}{61}$$

Factor

$$\frac{2 ^ {2} \cdot 5 ^ {2} \cdot 3967}{61} = 6503\frac{17}{61} = 6503.2786885245905$$