Solve 0.125*(14/25+2/5)

$$0.125 \times ( \frac{ 14 }{ 25 } + \frac{ 2 }{ 5 } )$$

Evaluate

$$0.12$$

Solution Steps

Least common multiple of 25 and 5 is 25. Convert \frac{14}{25} and \frac{2}{5} to fractions with denominator 25.

$$0.125\left(\frac{14}{25}+\frac{10}{25}\right)$$

Since \frac{14}{25} and \frac{10}{25} have the same denominator, add them by adding their numerators.

$$0.125\times \frac{14+10}{25}$$

Add 14 and 10 to get 24.

$$0.125\times \frac{24}{25}$$

Convert decimal number 0.125 to fraction \frac{125}{1000}. Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{1}{8}\times \frac{24}{25}$$

Multiply \frac{1}{8} times \frac{24}{25} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 24}{8\times 25}$$

Do the multiplications in the fraction \frac{1\times 24}{8\times 25}.

$$\frac{24}{200}$$

Reduce the fraction \frac{24}{200} to lowest terms by extracting and canceling out 8.

$$\frac{3}{25}$$

Factor

$$\frac{3}{5 ^ {2}} = 0.12$$