Solve (1/2*6/10)+(1/2*4/12)

$$( \frac{ 1 }{ 2 } \times \frac{ 6 }{ 10 } )+( \frac{ 1 }{ 2 } \times \frac{ 4 }{ 12 } )$$

Evaluate

$$\frac{7}{15}\approx 0.466666667$$

Solution Steps

Reduce the fraction \frac{6}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}\times \frac{3}{5}+\frac{1}{2}\times \frac{4}{12}$$

Multiply \frac{1}{2} times \frac{3}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 3}{2\times 5}+\frac{1}{2}\times \frac{4}{12}$$

Do the multiplications in the fraction \frac{1\times 3}{2\times 5}.

$$\frac{3}{10}+\frac{1}{2}\times \frac{4}{12}$$

Reduce the fraction \frac{4}{12} to lowest terms by extracting and canceling out 4.

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

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

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

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

$$\frac{3}{10}+\frac{1}{6}$$

Least common multiple of 10 and 6 is 30. Convert \frac{3}{10} and \frac{1}{6} to fractions with denominator 30.

$$\frac{9}{30}+\frac{5}{30}$$

Since \frac{9}{30} and \frac{5}{30} have the same denominator, add them by adding their numerators.

$$\frac{9+5}{30}$$

Add 9 and 5 to get 14.

$$\frac{14}{30}$$

Reduce the fraction \frac{14}{30} to lowest terms by extracting and canceling out 2.

$$\frac{7}{15}$$

Factor

$$\frac{7}{3 \cdot 5} = 0.4666666666666667$$