Solve 28div55div1.95div100*10000*7.6

$$28 \div 55 \div 1.95 \div 100 \times 10000 \times 7.6$$

Evaluate

$$\frac{85120}{429}\approx 198.414918415$$

Solution Steps

Express \frac{\frac{\frac{28}{55}}{1.95}}{100} as a single fraction.

$$\frac{\frac{28}{55}}{1.95\times 100}\times 10000\times 7.6$$

Multiply 1.95 and 100 to get 195.

$$\frac{\frac{28}{55}}{195}\times 10000\times 7.6$$

Express \frac{\frac{28}{55}}{195} as a single fraction.

$$\frac{28}{55\times 195}\times 10000\times 7.6$$

Multiply 55 and 195 to get 10725.

$$\frac{28}{10725}\times 10000\times 7.6$$

Express \frac{28}{10725}\times 10000 as a single fraction.

$$\frac{28\times 10000}{10725}\times 7.6$$

Multiply 28 and 10000 to get 280000.

$$\frac{280000}{10725}\times 7.6$$

Reduce the fraction \frac{280000}{10725} to lowest terms by extracting and canceling out 25.

$$\frac{11200}{429}\times 7.6$$

Convert decimal number 7.6 to fraction \frac{76}{10}. Reduce the fraction \frac{76}{10} to lowest terms by extracting and canceling out 2.

$$\frac{11200}{429}\times \frac{38}{5}$$

Multiply \frac{11200}{429} times \frac{38}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11200\times 38}{429\times 5}$$

Do the multiplications in the fraction \frac{11200\times 38}{429\times 5}.

$$\frac{425600}{2145}$$

Reduce the fraction \frac{425600}{2145} to lowest terms by extracting and canceling out 5.

$$\frac{85120}{429}$$

Factor

$$\frac{5 \cdot 7 \cdot 19 \cdot 2 ^ {7}}{3 \cdot 11 \cdot 13} = 198\frac{178}{429} = 198.41491841491842$$