Solve 1,500/100^2+100.2

$$\frac { 1,500 } { 100 ^ { 2 } } + 100.2$$

Evaluate

$$100.35$$

Solution Steps

Calculate 100 to the power of 2 and get 10000.

$$\frac{1500}{10000}+100.2$$

Reduce the fraction \frac{1500}{10000} to lowest terms by extracting and canceling out 500.

$$\frac{3}{20}+100.2$$

Convert decimal number 100.2 to fraction \frac{1002}{10}. Reduce the fraction \frac{1002}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{20}+\frac{501}{5}$$

Least common multiple of 20 and 5 is 20. Convert \frac{3}{20} and \frac{501}{5} to fractions with denominator 20.

$$\frac{3}{20}+\frac{2004}{20}$$

Since \frac{3}{20} and \frac{2004}{20} have the same denominator, add them by adding their numerators.

$$\frac{3+2004}{20}$$

Add 3 and 2004 to get 2007.

$$\frac{2007}{20}$$

Factor

$$\frac{223 \cdot 3 ^ {2}}{5 \cdot 2 ^ {2}} = 100\frac{7}{20} = 100.35$$