Solve 10557.5*(1+3.25/100)

$$10557.5 \times (1+ \frac{ 3.25 }{ 100 } )$$

Evaluate

$$10900.61875$$

Solution Steps

Expand \frac{3.25}{100} by multiplying both numerator and the denominator by 100.

$$10557.5\left(1+\frac{325}{10000}\right)$$

Reduce the fraction \frac{325}{10000} to lowest terms by extracting and canceling out 25.

$$10557.5\left(1+\frac{13}{400}\right)$$

Convert 1 to fraction \frac{400}{400}.

$$10557.5\left(\frac{400}{400}+\frac{13}{400}\right)$$

Since \frac{400}{400} and \frac{13}{400} have the same denominator, add them by adding their numerators.

$$10557.5\times \frac{400+13}{400}$$

Add 400 and 13 to get 413.

$$10557.5\times \frac{413}{400}$$

Convert decimal number 10557.5 to fraction \frac{105575}{10}. Reduce the fraction \frac{105575}{10} to lowest terms by extracting and canceling out 5.

$$\frac{21115}{2}\times \frac{413}{400}$$

Multiply \frac{21115}{2} times \frac{413}{400} by multiplying numerator times numerator and denominator times denominator.

$$\frac{21115\times 413}{2\times 400}$$

Do the multiplications in the fraction \frac{21115\times 413}{2\times 400}.

$$\frac{8720495}{800}$$

Reduce the fraction \frac{8720495}{800} to lowest terms by extracting and canceling out 5.

$$\frac{1744099}{160}$$

Factor

$$\frac{7 \cdot 41 \cdot 59 \cdot 103}{5 \cdot 2 ^ {5}} = 10900\frac{99}{160} = 10900.61875$$