Solve (0.5+1/3)*(1/4+0.2)

$$( 0.5 + \frac { 1 } { 3 } ) \times ( \frac { 1 } { 4 } + 0.2 )$$

Evaluate

$$0.375$$

Solution Steps

Convert decimal number 0.5 to fraction \frac{5}{10}. Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\left(\frac{1}{2}+\frac{1}{3}\right)\left(\frac{1}{4}+0.2\right)$$

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{1}{3} to fractions with denominator 6.

$$\left(\frac{3}{6}+\frac{2}{6}\right)\left(\frac{1}{4}+0.2\right)$$

Since \frac{3}{6} and \frac{2}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+2}{6}\left(\frac{1}{4}+0.2\right)$$

Add 3 and 2 to get 5.

$$\frac{5}{6}\left(\frac{1}{4}+0.2\right)$$

Convert decimal number 0.2 to fraction \frac{2}{10}. Reduce the fraction \frac{2}{10} to lowest terms by extracting and canceling out 2.

$$\frac{5}{6}\left(\frac{1}{4}+\frac{1}{5}\right)$$

Least common multiple of 4 and 5 is 20. Convert \frac{1}{4} and \frac{1}{5} to fractions with denominator 20.

$$\frac{5}{6}\left(\frac{5}{20}+\frac{4}{20}\right)$$

Since \frac{5}{20} and \frac{4}{20} have the same denominator, add them by adding their numerators.

$$\frac{5}{6}\times \frac{5+4}{20}$$

Add 5 and 4 to get 9.

$$\frac{5}{6}\times \frac{9}{20}$$

Multiply \frac{5}{6} times \frac{9}{20} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 9}{6\times 20}$$

Do the multiplications in the fraction \frac{5\times 9}{6\times 20}.

$$\frac{45}{120}$$

Reduce the fraction \frac{45}{120} to lowest terms by extracting and canceling out 15.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$