Solve 10000*(1+5*20,25/100)

$$10000 \times ( 1 + \frac { 5 \times 20,25 } { 100 } )$$

Evaluate

$$20125$$

Solution Steps

Multiply 5 and 20,25 to get 101,25.

$$10000\left(1+\frac{101,25}{100}\right)$$

Expand \frac{101,25}{100} by multiplying both numerator and the denominator by 100.

$$10000\left(1+\frac{10125}{10000}\right)$$

Reduce the fraction \frac{10125}{10000} to lowest terms by extracting and canceling out 125.

$$10000\left(1+\frac{81}{80}\right)$$

Convert 1 to fraction \frac{80}{80}.

$$10000\left(\frac{80}{80}+\frac{81}{80}\right)$$

Since \frac{80}{80} and \frac{81}{80} have the same denominator, add them by adding their numerators.

$$10000\times \frac{80+81}{80}$$

Add 80 and 81 to get 161.

$$10000\times \frac{161}{80}$$

Express 10000\times \frac{161}{80} as a single fraction.

$$\frac{10000\times 161}{80}$$

Multiply 10000 and 161 to get 1610000.

$$\frac{1610000}{80}$$

Divide 1610000 by 80 to get 20125.

$$20125$$

Factor

$$7\times 23\times 5^{3}$$