Solve 0.05+(3*200/10000)

$$0.05 + ( 3 \times 200 / 10000 )$$

Evaluate

$$0.11$$

Solution Steps

Reduce the fraction \frac{200}{10000} to lowest terms by extracting and canceling out 200.

$$0.05+3\times \frac{1}{50}$$

Multiply 3 and \frac{1}{50} to get \frac{3}{50}.

$$0.05+\frac{3}{50}$$

Convert decimal number 0.05 to fraction \frac{5}{100}. Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{1}{20}+\frac{3}{50}$$

Least common multiple of 20 and 50 is 100. Convert \frac{1}{20} and \frac{3}{50} to fractions with denominator 100.

$$\frac{5}{100}+\frac{6}{100}$$

Since \frac{5}{100} and \frac{6}{100} have the same denominator, add them by adding their numerators.

$$\frac{5+6}{100}$$

Add 5 and 6 to get 11.

$$\frac{11}{100}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 5 ^ {2}} = 0.11$$