Solve 1/2*0.5*1.94^2

$$\frac { 1 } { 2 } \times 0.5 \times 1.94 ^ { 2 }$$

Evaluate

$$0.9409$$

Solution Steps

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}\times \frac{1}{2}\times 1.94^{2}$$

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

$$\frac{1\times 1}{2\times 2}\times 1.94^{2}$$

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

$$\frac{1}{4}\times 1.94^{2}$$

Calculate 1.94 to the power of 2 and get 3.7636.

$$\frac{1}{4}\times 3.7636$$

Convert decimal number 3.7636 to fraction \frac{37636}{10000}. Reduce the fraction \frac{37636}{10000} to lowest terms by extracting and canceling out 4.

$$\frac{1}{4}\times \frac{9409}{2500}$$

Multiply \frac{1}{4} times \frac{9409}{2500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9409}{4\times 2500}$$

Do the multiplications in the fraction \frac{1\times 9409}{4\times 2500}.

$$\frac{9409}{10000}$$

Factor

$$\frac{97 ^ {2}}{2 ^ {4} \cdot 5 ^ {4}} = 0.9409$$