Solve 12.40/850*2^2*100

$$\frac { 12.40 } { 850 } \cdot 2 ^ { 2 } \cdot 100$$

Evaluate

$$\frac{496}{85}\approx 5.835294118$$

Solution Steps

Expand \frac{12.4}{850} by multiplying both numerator and the denominator by 10.

$$\frac{124}{8500}\times 2^{2}\times 100$$

Reduce the fraction \frac{124}{8500} to lowest terms by extracting and canceling out 4.

$$\frac{31}{2125}\times 2^{2}\times 100$$

Calculate 2 to the power of 2 and get 4.

$$\frac{31}{2125}\times 4\times 100$$

Express \frac{31}{2125}\times 4 as a single fraction.

$$\frac{31\times 4}{2125}\times 100$$

Multiply 31 and 4 to get 124.

$$\frac{124}{2125}\times 100$$

Express \frac{124}{2125}\times 100 as a single fraction.

$$\frac{124\times 100}{2125}$$

Multiply 124 and 100 to get 12400.

$$\frac{12400}{2125}$$

Reduce the fraction \frac{12400}{2125} to lowest terms by extracting and canceling out 25.

$$\frac{496}{85}$$

Factor

$$\frac{31 \cdot 2 ^ {4}}{5 \cdot 17} = 5\frac{71}{85} = 5.8352941176470585$$