Solve (50*0.2%)+(30%*50%)

$$(50 \times 0.2 \% )+(30 \% \times 50 \% )$$

Evaluate

$$0.25$$

Solution Steps

Expand \frac{0.2}{100} by multiplying both numerator and the denominator by 10.

$$50\times \frac{2}{1000}+\frac{30}{100}\times \frac{50}{100}$$

Reduce the fraction \frac{2}{1000} to lowest terms by extracting and canceling out 2.

$$50\times \frac{1}{500}+\frac{30}{100}\times \frac{50}{100}$$

Multiply 50 and \frac{1}{500} to get \frac{50}{500}.

$$\frac{50}{500}+\frac{30}{100}\times \frac{50}{100}$$

Reduce the fraction \frac{50}{500} to lowest terms by extracting and canceling out 50.

$$\frac{1}{10}+\frac{30}{100}\times \frac{50}{100}$$

Reduce the fraction \frac{30}{100} to lowest terms by extracting and canceling out 10.

$$\frac{1}{10}+\frac{3}{10}\times \frac{50}{100}$$

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

$$\frac{1}{10}+\frac{3}{10}\times \frac{1}{2}$$

Multiply \frac{3}{10} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1}{10}+\frac{3\times 1}{10\times 2}$$

Do the multiplications in the fraction \frac{3\times 1}{10\times 2}.

$$\frac{1}{10}+\frac{3}{20}$$

Least common multiple of 10 and 20 is 20. Convert \frac{1}{10} and \frac{3}{20} to fractions with denominator 20.

$$\frac{2}{20}+\frac{3}{20}$$

Since \frac{2}{20} and \frac{3}{20} have the same denominator, add them by adding their numerators.

$$\frac{2+3}{20}$$

Add 2 and 3 to get 5.

$$\frac{5}{20}$$

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$