Solve 300000(1+5*8725%/12)=

$$300000 ( 1 + \frac { 5 \cdot 8725 \% } { 12 } ) =$$

Evaluate

$$11206250$$

Solution Steps

Reduce the fraction \frac{8725}{100} to lowest terms by extracting and canceling out 25.

$$300000\left(1+\frac{5\times \frac{349}{4}}{12}\right)$$

Express 5\times \frac{349}{4} as a single fraction.

$$300000\left(1+\frac{\frac{5\times 349}{4}}{12}\right)$$

Multiply 5 and 349 to get 1745.

$$300000\left(1+\frac{\frac{1745}{4}}{12}\right)$$

Express \frac{\frac{1745}{4}}{12} as a single fraction.

$$300000\left(1+\frac{1745}{4\times 12}\right)$$

Multiply 4 and 12 to get 48.

$$300000\left(1+\frac{1745}{48}\right)$$

Convert 1 to fraction \frac{48}{48}.

$$300000\left(\frac{48}{48}+\frac{1745}{48}\right)$$

Since \frac{48}{48} and \frac{1745}{48} have the same denominator, add them by adding their numerators.

$$300000\times \frac{48+1745}{48}$$

Add 48 and 1745 to get 1793.

$$300000\times \frac{1793}{48}$$

Express 300000\times \frac{1793}{48} as a single fraction.

$$\frac{300000\times 1793}{48}$$

Multiply 300000 and 1793 to get 537900000.

$$\frac{537900000}{48}$$

Divide 537900000 by 48 to get 11206250.

$$11206250$$

Factor

$$2\times 5^{5}\times 11\times 163$$