Solve 5.5*10*3.5*7/875*845*4

$$\frac { 5.5 \times 10 \times 3.5 \times 7 } { 875 \times 845 \times 4 }$$

Evaluate

$$\frac{77}{169000}\approx 0.000455621$$

Solution Steps

Cancel out 2\times 5\times 7 in both numerator and denominator.

$$\frac{3.5\times 5.5}{2\times 25\times 845}$$

Multiply 3.5 and 5.5 to get 19.25.

$$\frac{19.25}{2\times 25\times 845}$$

Multiply 2 and 25 to get 50.

$$\frac{19.25}{50\times 845}$$

Multiply 50 and 845 to get 42250.

$$\frac{19.25}{42250}$$

Expand \frac{19.25}{42250} by multiplying both numerator and the denominator by 100.

$$\frac{1925}{4225000}$$

Reduce the fraction \frac{1925}{4225000} to lowest terms by extracting and canceling out 25.

$$\frac{77}{169000}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {3} \cdot 5 ^ {3} \cdot 13 ^ {2}} = 0.0004556213017751479$$