Solve 644/8000*24*7

$$\frac{ 644 }{ 8000 } \times 24 \times 7$$

Evaluate

$$\frac{3381}{250}=13.524$$

Solution Steps

Reduce the fraction \frac{644}{8000} to lowest terms by extracting and canceling out 4.

$$\frac{161}{2000}\times 24\times 7$$

Express \frac{161}{2000}\times 24 as a single fraction.

$$\frac{161\times 24}{2000}\times 7$$

Multiply 161 and 24 to get 3864.

$$\frac{3864}{2000}\times 7$$

Reduce the fraction \frac{3864}{2000} to lowest terms by extracting and canceling out 8.

$$\frac{483}{250}\times 7$$

Express \frac{483}{250}\times 7 as a single fraction.

$$\frac{483\times 7}{250}$$

Multiply 483 and 7 to get 3381.

$$\frac{3381}{250}$$

Factor

$$\frac{3 \cdot 7 ^ {2} \cdot 23}{2 \cdot 5 ^ {3}} = 13\frac{131}{250} = 13.524$$