Solve 199.8(50.84/100)

$$199.8( \frac{ 50.84 }{ 100 } )$$

Evaluate

$$101.57832$$

Solution Steps

Expand \frac{50.84}{100} by multiplying both numerator and the denominator by 100.

$$199.8\times \frac{5084}{10000}$$

Reduce the fraction \frac{5084}{10000} to lowest terms by extracting and canceling out 4.

$$199.8\times \frac{1271}{2500}$$

Convert decimal number 199.8 to fraction \frac{1998}{10}. Reduce the fraction \frac{1998}{10} to lowest terms by extracting and canceling out 2.

$$\frac{999}{5}\times \frac{1271}{2500}$$

Multiply \frac{999}{5} times \frac{1271}{2500} by multiplying numerator times numerator and denominator times denominator.

$$\frac{999\times 1271}{5\times 2500}$$

Do the multiplications in the fraction \frac{999\times 1271}{5\times 2500}.

$$\frac{1269729}{12500}$$

Factor

$$\frac{31 \cdot 37 \cdot 41 \cdot 3 ^ {3}}{2 ^ {2} \cdot 5 ^ {5}} = 101\frac{7229}{12500} = 101.57832$$