Solve 21000*(1+0.136/4)*16

$$21000 \cdot ( 1 + \frac { 0.136 } { 4 } ) \cdot 16$$

Evaluate

$$347424$$

Solution Steps

Expand \frac{0.136}{4} by multiplying both numerator and the denominator by 1000.

$$21000\left(1+\frac{136}{4000}\right)\times 16$$

Reduce the fraction \frac{136}{4000} to lowest terms by extracting and canceling out 8.

$$21000\left(1+\frac{17}{500}\right)\times 16$$

Convert 1 to fraction \frac{500}{500}.

$$21000\left(\frac{500}{500}+\frac{17}{500}\right)\times 16$$

Since \frac{500}{500} and \frac{17}{500} have the same denominator, add them by adding their numerators.

$$21000\times \frac{500+17}{500}\times 16$$

Add 500 and 17 to get 517.

$$21000\times \frac{517}{500}\times 16$$

Express 21000\times \frac{517}{500} as a single fraction.

$$\frac{21000\times 517}{500}\times 16$$

Multiply 21000 and 517 to get 10857000.

$$\frac{10857000}{500}\times 16$$

Divide 10857000 by 500 to get 21714.

$$21714\times 16$$

Multiply 21714 and 16 to get 347424.

$$347424$$

Factor

$$3\times 7\times 11\times 47\times 2^{5}$$