Solve 10000*.5+((10000+5000)*(2div12))+((10000+5000-600)*(4div12))

$$10000 \times .5+((10000+5000) \times (2 \div 12))+((10000+5000-600) \times (4 \div 12))$$

Evaluate

$$12300$$

Solution Steps

Multiply 10000 and 0.5 to get 5000.

$$5000+\left(10000+5000\right)\times \frac{2}{12}+\left(10000+5000-600\right)\times \frac{4}{12}$$

Add 10000 and 5000 to get 15000.

$$5000+15000\times \frac{2}{12}+\left(10000+5000-600\right)\times \frac{4}{12}$$

Reduce the fraction \frac{2}{12} to lowest terms by extracting and canceling out 2.

$$5000+15000\times \frac{1}{6}+\left(10000+5000-600\right)\times \frac{4}{12}$$

Multiply 15000 and \frac{1}{6} to get \frac{15000}{6}.

$$5000+\frac{15000}{6}+\left(10000+5000-600\right)\times \frac{4}{12}$$

Divide 15000 by 6 to get 2500.

$$5000+2500+\left(10000+5000-600\right)\times \frac{4}{12}$$

Add 5000 and 2500 to get 7500.

$$7500+\left(10000+5000-600\right)\times \frac{4}{12}$$

Add 10000 and 5000 to get 15000.

$$7500+\left(15000-600\right)\times \frac{4}{12}$$

Subtract 600 from 15000 to get 14400.

$$7500+14400\times \frac{4}{12}$$

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

$$7500+14400\times \frac{1}{3}$$

Multiply 14400 and \frac{1}{3} to get \frac{14400}{3}.

$$7500+\frac{14400}{3}$$

Divide 14400 by 3 to get 4800.

$$7500+4800$$

Add 7500 and 4800 to get 12300.

$$12300$$

Factor

$$3\times 41\times 2^{2}\times 5^{2}$$