Solve 4.606^2/1.697*0.066

$$\frac{ { 4.606 }^{ 2 } }{ 1.697 } \times 0.066$$

Evaluate

$$\frac{175025697}{212125000}\approx 0.825106409$$

Solution Steps

Calculate 4.606 to the power of 2 and get 21.215236.

$$\frac{21.215236}{1.697}\times 0.066$$

Expand \frac{21.215236}{1.697} by multiplying both numerator and the denominator by 1000000.

$$\frac{21215236}{1697000}\times 0.066$$

Reduce the fraction \frac{21215236}{1697000} to lowest terms by extracting and canceling out 4.

$$\frac{5303809}{424250}\times 0.066$$

Convert decimal number 0.066 to fraction \frac{66}{1000}. Reduce the fraction \frac{66}{1000} to lowest terms by extracting and canceling out 2.

$$\frac{5303809}{424250}\times \frac{33}{500}$$

Multiply \frac{5303809}{424250} times \frac{33}{500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5303809\times 33}{424250\times 500}$$

Do the multiplications in the fraction \frac{5303809\times 33}{424250\times 500}.

$$\frac{175025697}{212125000}$$

Factor

$$\frac{3 \cdot 11 \cdot 7 ^ {4} \cdot 47 ^ {2}}{1697 \cdot 2 ^ {3} \cdot 5 ^ {6}} = 0.825106408956983$$