Solve 9.8div2*0.1024=

$$9.8 \div 2 \times 0.1024=$$

Evaluate

$$0.50176$$

Solution Steps

Expand \frac{9.8}{2} by multiplying both numerator and the denominator by 10.

$$\frac{98}{20}\times 0.1024$$

Reduce the fraction \frac{98}{20} to lowest terms by extracting and canceling out 2.

$$\frac{49}{10}\times 0.1024$$

Convert decimal number 0.1024 to fraction \frac{1024}{10000}. Reduce the fraction \frac{1024}{10000} to lowest terms by extracting and canceling out 16.

$$\frac{49}{10}\times \frac{64}{625}$$

Multiply \frac{49}{10} times \frac{64}{625} by multiplying numerator times numerator and denominator times denominator.

$$\frac{49\times 64}{10\times 625}$$

Do the multiplications in the fraction \frac{49\times 64}{10\times 625}.

$$\frac{3136}{6250}$$

Reduce the fraction \frac{3136}{6250} to lowest terms by extracting and canceling out 2.

$$\frac{1568}{3125}$$

Factor

$$\frac{2 ^ {5} \cdot 7 ^ {2}}{5 ^ {5}} = 0.50176$$