Solve 1/2*0.028*0.96^2

$$\frac{ 1 }{ 2 } \times 0.028 \times { 0.96 }^{ 2 }$$

Evaluate

$$0.0129024$$

Solution Steps

Convert decimal number 0.028 to fraction \frac{28}{1000}. Reduce the fraction \frac{28}{1000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{2}\times \frac{7}{250}\times 0.96^{2}$$

Multiply \frac{1}{2} times \frac{7}{250} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 7}{2\times 250}\times 0.96^{2}$$

Do the multiplications in the fraction \frac{1\times 7}{2\times 250}.

$$\frac{7}{500}\times 0.96^{2}$$

Calculate 0.96 to the power of 2 and get 0.9216.

$$\frac{7}{500}\times 0.9216$$

Convert decimal number 0.9216 to fraction \frac{9216}{10000}. Reduce the fraction \frac{9216}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{7}{500}\times \frac{576}{625}$$

Multiply \frac{7}{500} times \frac{576}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 576}{500\times 625}$$

Do the multiplications in the fraction \frac{7\times 576}{500\times 625}.

$$\frac{4032}{312500}$$

Reduce the fraction \frac{4032}{312500} to lowest terms by extracting and canceling out 4.

$$\frac{1008}{78125}$$

Factor

$$\frac{7 \cdot 2 ^ {4} \cdot 3 ^ {2}}{5 ^ {7}} = 0.0129024$$