Solve 150000/1+.18(frac{210{360})}

$$\frac{ 150000 }{ 1+.18( \frac{ 210 }{ 360 } ) }$$

Evaluate

$$\frac{30000000}{221}\approx 135746.606334842$$

Solution Steps

Reduce the fraction \frac{210}{360} to lowest terms by extracting and canceling out 30.

$$\frac{150000}{1+0.18\times \frac{7}{12}}$$

Convert decimal number 0.18 to fraction \frac{18}{100}. Reduce the fraction \frac{18}{100} to lowest terms by extracting and canceling out 2.

$$\frac{150000}{1+\frac{9}{50}\times \frac{7}{12}}$$

Multiply \frac{9}{50} times \frac{7}{12} by multiplying numerator times numerator and denominator times denominator.

$$\frac{150000}{1+\frac{9\times 7}{50\times 12}}$$

Do the multiplications in the fraction \frac{9\times 7}{50\times 12}.

$$\frac{150000}{1+\frac{63}{600}}$$

Reduce the fraction \frac{63}{600} to lowest terms by extracting and canceling out 3.

$$\frac{150000}{1+\frac{21}{200}}$$

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

$$\frac{150000}{\frac{200}{200}+\frac{21}{200}}$$

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

$$\frac{150000}{\frac{200+21}{200}}$$

Add 200 and 21 to get 221.

$$\frac{150000}{\frac{221}{200}}$$

Divide 150000 by \frac{221}{200} by multiplying 150000 by the reciprocal of \frac{221}{200}.

$$150000\times \frac{200}{221}$$

Express 150000\times \frac{200}{221} as a single fraction.

$$\frac{150000\times 200}{221}$$

Multiply 150000 and 200 to get 30000000.

$$\frac{30000000}{221}$$

Factor

$$\frac{3 \cdot 2 ^ {7} \cdot 5 ^ {7}}{13 \cdot 17} = 135746\frac{134}{221} = 135746.60633484164$$