Solve 38000+52000+85000/(1+10.5%)

$$\frac { 38000 + 52000 + 85000 } { ( 1 + 10.5 \% ) }$$

Evaluate

$$\frac{35000000}{221}\approx 158371.040723982$$

Solution Steps

Add 38000 and 52000 to get 90000.

$$\frac{90000+85000}{1+\frac{10.5}{100}}$$

Add 90000 and 85000 to get 175000.

$$\frac{175000}{1+\frac{10.5}{100}}$$

Expand \frac{10.5}{100} by multiplying both numerator and the denominator by 10.

$$\frac{175000}{1+\frac{105}{1000}}$$

Reduce the fraction \frac{105}{1000} to lowest terms by extracting and canceling out 5.

$$\frac{175000}{1+\frac{21}{200}}$$

Convert 1 to fraction \frac{200}{200}.

$$\frac{175000}{\frac{200}{200}+\frac{21}{200}}$$

Since \frac{200}{200} and \frac{21}{200} have the same denominator, add them by adding their numerators.

$$\frac{175000}{\frac{200+21}{200}}$$

Add 200 and 21 to get 221.

$$\frac{175000}{\frac{221}{200}}$$

Divide 175000 by \frac{221}{200} by multiplying 175000 by the reciprocal of \frac{221}{200}.

$$175000\times \frac{200}{221}$$

Express 175000\times \frac{200}{221} as a single fraction.

$$\frac{175000\times 200}{221}$$

Multiply 175000 and 200 to get 35000000.

$$\frac{35000000}{221}$$

Factor

$$\frac{7 \cdot 2 ^ {6} \cdot 5 ^ {7}}{13 \cdot 17} = 158371\frac{9}{221} = 158371.0407239819$$