Solve 15/10*6*5000*100/8

$$\frac { 15 } { 10 } \times 6 \times 5000 \times \frac { 100 } { 8 }$$

Evaluate

$$562500$$

Solution Steps

Reduce the fraction \frac{15}{10} to lowest terms by extracting and canceling out 5.

$$\frac{3}{2}\times 6\times 5000\times \frac{100}{8}$$

Express \frac{3}{2}\times 6 as a single fraction.

$$\frac{3\times 6}{2}\times 5000\times \frac{100}{8}$$

Multiply 3 and 6 to get 18.

$$\frac{18}{2}\times 5000\times \frac{100}{8}$$

Divide 18 by 2 to get 9.

$$9\times 5000\times \frac{100}{8}$$

Multiply 9 and 5000 to get 45000.

$$45000\times \frac{100}{8}$$

Reduce the fraction \frac{100}{8} to lowest terms by extracting and canceling out 4.

$$45000\times \frac{25}{2}$$

Express 45000\times \frac{25}{2} as a single fraction.

$$\frac{45000\times 25}{2}$$

Multiply 45000 and 25 to get 1125000.

$$\frac{1125000}{2}$$

Divide 1125000 by 2 to get 562500.

$$562500$$

Factor

$$2^{2}\times 3^{2}\times 5^{6}$$