Solve (1div2)(195.8)(0.24^2)

$$(1 \div 2)(195.8)( { 0.24 }^{ 2 } )$$

Evaluate

$$5.63904$$

Solution Steps

Convert decimal number 195.8 to fraction \frac{1958}{10}. Reduce the fraction \frac{1958}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{979}{5}\times 0.24^{2}$$

Multiply \frac{1}{2} times \frac{979}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 979}{2\times 5}\times 0.24^{2}$$

Do the multiplications in the fraction \frac{1\times 979}{2\times 5}.

$$\frac{979}{10}\times 0.24^{2}$$

Calculate 0.24 to the power of 2 and get 0.0576.

$$\frac{979}{10}\times 0.0576$$

Convert decimal number 0.0576 to fraction \frac{576}{10000}. Reduce the fraction \frac{576}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{979}{10}\times \frac{36}{625}$$

Multiply \frac{979}{10} times \frac{36}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{979\times 36}{10\times 625}$$

Do the multiplications in the fraction \frac{979\times 36}{10\times 625}.

$$\frac{35244}{6250}$$

Reduce the fraction \frac{35244}{6250} to lowest terms by extracting and canceling out 2.

$$\frac{17622}{3125}$$

Factor

$$\frac{2 \cdot 11 \cdot 89 \cdot 3 ^ {2}}{5 ^ {5}} = 5\frac{1997}{3125} = 5.63904$$