Solve 3600((1+5/100)-1))

$$3600((1+ \frac{ 5 }{ 100 } )-1))$$

Evaluate

$$180$$

Solution Steps

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$3600\left(1+\frac{1}{20}-1\right)$$

Convert 1 to fraction \frac{20}{20}.

$$3600\left(\frac{20}{20}+\frac{1}{20}-1\right)$$

Since \frac{20}{20} and \frac{1}{20} have the same denominator, add them by adding their numerators.

$$3600\left(\frac{20+1}{20}-1\right)$$

Add 20 and 1 to get 21.

$$3600\left(\frac{21}{20}-1\right)$$

Convert 1 to fraction \frac{20}{20}.

$$3600\left(\frac{21}{20}-\frac{20}{20}\right)$$

Since \frac{21}{20} and \frac{20}{20} have the same denominator, subtract them by subtracting their numerators.

$$3600\times \frac{21-20}{20}$$

Subtract 20 from 21 to get 1.

$$3600\times \frac{1}{20}$$

Multiply 3600 and \frac{1}{20} to get \frac{3600}{20}.

$$\frac{3600}{20}$$

Divide 3600 by 20 to get 180.

$$180$$

Factor

$$2^{2}\times 3^{2}\times 5$$