Solve (5+200+50/5)(1+50/100)(1+0.6)(3)

$$(5+200+ \frac{ 50 }{ 5 } )(1+ \frac{ 50 }{ 100 } )(1+0.6)(3)$$

Evaluate

$$1548$$

Solution Steps

Add 5 and 200 to get 205.

$$\left(205+\frac{50}{5}\right)\left(1+\frac{50}{100}\right)\left(1+0.6\right)\times 3$$

Divide 50 by 5 to get 10.

$$\left(205+10\right)\left(1+\frac{50}{100}\right)\left(1+0.6\right)\times 3$$

Add 205 and 10 to get 215.

$$215\left(1+\frac{50}{100}\right)\left(1+0.6\right)\times 3$$

Reduce the fraction \frac{50}{100} to lowest terms by extracting and canceling out 50.

$$215\left(1+\frac{1}{2}\right)\left(1+0.6\right)\times 3$$

Convert 1 to fraction \frac{2}{2}.

$$215\left(\frac{2}{2}+\frac{1}{2}\right)\left(1+0.6\right)\times 3$$

Since \frac{2}{2} and \frac{1}{2} have the same denominator, add them by adding their numerators.

$$215\times \frac{2+1}{2}\left(1+0.6\right)\times 3$$

Add 2 and 1 to get 3.

$$215\times \frac{3}{2}\left(1+0.6\right)\times 3$$

Express 215\times \frac{3}{2} as a single fraction.

$$\frac{215\times 3}{2}\left(1+0.6\right)\times 3$$

Multiply 215 and 3 to get 645.

$$\frac{645}{2}\left(1+0.6\right)\times 3$$

Add 1 and 0.6 to get 1.6.

$$\frac{645}{2}\times 1.6\times 3$$

Convert decimal number 1.6 to fraction \frac{16}{10}. Reduce the fraction \frac{16}{10} to lowest terms by extracting and canceling out 2.

$$\frac{645}{2}\times \frac{8}{5}\times 3$$

Multiply \frac{645}{2} times \frac{8}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{645\times 8}{2\times 5}\times 3$$

Do the multiplications in the fraction \frac{645\times 8}{2\times 5}.

$$\frac{5160}{10}\times 3$$

Divide 5160 by 10 to get 516.

$$516\times 3$$

Multiply 516 and 3 to get 1548.

$$1548$$

Factor

$$43\times 2^{2}\times 3^{2}$$