Solve 900*72%+700*80%/1600*10

$$\frac { 900 \times 72 \% + 700 \times 80 \% } { 1600 } \times 10$$

Evaluate

$$\frac{151}{20}=7.55$$

Solution Steps

Reduce the fraction \frac{72}{100} to lowest terms by extracting and canceling out 4.

$$\frac{900\times \frac{18}{25}+700\times \frac{80}{100}}{1600}\times 10$$

Express 900\times \frac{18}{25} as a single fraction.

$$\frac{\frac{900\times 18}{25}+700\times \frac{80}{100}}{1600}\times 10$$

Multiply 900 and 18 to get 16200.

$$\frac{\frac{16200}{25}+700\times \frac{80}{100}}{1600}\times 10$$

Divide 16200 by 25 to get 648.

$$\frac{648+700\times \frac{80}{100}}{1600}\times 10$$

Reduce the fraction \frac{80}{100} to lowest terms by extracting and canceling out 20.

$$\frac{648+700\times \frac{4}{5}}{1600}\times 10$$

Express 700\times \frac{4}{5} as a single fraction.

$$\frac{648+\frac{700\times 4}{5}}{1600}\times 10$$

Multiply 700 and 4 to get 2800.

$$\frac{648+\frac{2800}{5}}{1600}\times 10$$

Divide 2800 by 5 to get 560.

$$\frac{648+560}{1600}\times 10$$

Add 648 and 560 to get 1208.

$$\frac{1208}{1600}\times 10$$

Reduce the fraction \frac{1208}{1600} to lowest terms by extracting and canceling out 8.

$$\frac{151}{200}\times 10$$

Express \frac{151}{200}\times 10 as a single fraction.

$$\frac{151\times 10}{200}$$

Multiply 151 and 10 to get 1510.

$$\frac{1510}{200}$$

Reduce the fraction \frac{1510}{200} to lowest terms by extracting and canceling out 10.

$$\frac{151}{20}$$

Factor

$$\frac{151}{2 ^ {2} \cdot 5} = 7\frac{11}{20} = 7.55$$