Solve 1/2*(12/3+2/5)

$$\frac { 1 } { 2 } \times ( 1 \frac { 2 } { 3 } + \frac { 2 } { 5 } )$$

Evaluate

$$\frac{31}{30}\approx 1.033333333$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{1}{2}\left(\frac{3+2}{3}+\frac{2}{5}\right)$$

Add 3 and 2 to get 5.

$$\frac{1}{2}\left(\frac{5}{3}+\frac{2}{5}\right)$$

Least common multiple of 3 and 5 is 15. Convert \frac{5}{3} and \frac{2}{5} to fractions with denominator 15.

$$\frac{1}{2}\left(\frac{25}{15}+\frac{6}{15}\right)$$

Since \frac{25}{15} and \frac{6}{15} have the same denominator, add them by adding their numerators.

$$\frac{1}{2}\times \frac{25+6}{15}$$

Add 25 and 6 to get 31.

$$\frac{1}{2}\times \frac{31}{15}$$

Multiply \frac{1}{2} times \frac{31}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 31}{2\times 15}$$

Do the multiplications in the fraction \frac{1\times 31}{2\times 15}.

$$\frac{31}{30}$$

Factor

$$\frac{31}{2 \cdot 3 \cdot 5} = 1\frac{1}{30} = 1.0333333333333334$$