Solve 201.3(49.15/100)

$$201.3( \frac{ 49.15 }{ 100 } )$$

Evaluate

$$98.93895$$

Solution Steps

Expand \frac{49.15}{100} by multiplying both numerator and the denominator by 100.

$$201.3\times \frac{4915}{10000}$$

Reduce the fraction \frac{4915}{10000} to lowest terms by extracting and canceling out 5.

$$201.3\times \frac{983}{2000}$$

Convert decimal number 201.3 to fraction \frac{2013}{10}.

$$\frac{2013}{10}\times \frac{983}{2000}$$

Multiply \frac{2013}{10} times \frac{983}{2000} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2013\times 983}{10\times 2000}$$

Do the multiplications in the fraction \frac{2013\times 983}{10\times 2000}.

$$\frac{1978779}{20000}$$

Factor

$$\frac{3 \cdot 11 \cdot 61 \cdot 983}{2 ^ {5} \cdot 5 ^ {4}} = 98\frac{18779}{20000} = 98.93895$$