Solve 1/2*6/10+1/2*2/4

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

Evaluate

$$\frac{11}{20}=0.55$$

Solution Steps

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

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

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

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

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

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

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

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

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

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

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

$$\frac{3}{10}+\frac{1}{4}$$

Least common multiple of 10 and 4 is 20. Convert \frac{3}{10} and \frac{1}{4} to fractions with denominator 20.

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

Since \frac{6}{20} and \frac{5}{20} have the same denominator, add them by adding their numerators.

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

Add 6 and 5 to get 11.

$$\frac{11}{20}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 5} = 0.55$$