Solve (22194div2740*2740div3200*3000)

$$(22194 \div 2740 \times 2740 \div 3200 \times 3000)$$

Evaluate

$$\frac{166455}{8}=20806.875$$

Solution Steps

Reduce the fraction \frac{22194}{2740} to lowest terms by extracting and canceling out 274.

$$\frac{\frac{81}{10}\times 2740}{3200}\times 3000$$

Express \frac{81}{10}\times 2740 as a single fraction.

$$\frac{\frac{81\times 2740}{10}}{3200}\times 3000$$

Multiply 81 and 2740 to get 221940.

$$\frac{\frac{221940}{10}}{3200}\times 3000$$

Divide 221940 by 10 to get 22194.

$$\frac{22194}{3200}\times 3000$$

Reduce the fraction \frac{22194}{3200} to lowest terms by extracting and canceling out 2.

$$\frac{11097}{1600}\times 3000$$

Express \frac{11097}{1600}\times 3000 as a single fraction.

$$\frac{11097\times 3000}{1600}$$

Multiply 11097 and 3000 to get 33291000.

$$\frac{33291000}{1600}$$

Reduce the fraction \frac{33291000}{1600} to lowest terms by extracting and canceling out 200.

$$\frac{166455}{8}$$

Factor

$$\frac{3 ^ {5} \cdot 5 \cdot 137}{2 ^ {3}} = 20806\frac{7}{8} = 20806.875$$