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

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

Evaluate

$$\frac{13}{2}=6.5$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 2 to get 5.

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

Least common multiple of 3 and 2 is 6. Convert \frac{5}{3} and \frac{1}{2} to fractions with denominator 6.

$$\left(\frac{10}{6}+\frac{3}{6}\right)\times 3$$

Since \frac{10}{6} and \frac{3}{6} have the same denominator, add them by adding their numerators.

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

Add 10 and 3 to get 13.

$$\frac{13}{6}\times 3$$

Express \frac{13}{6}\times 3 as a single fraction.

$$\frac{13\times 3}{6}$$

Multiply 13 and 3 to get 39.

$$\frac{39}{6}$$

Reduce the fraction \frac{39}{6} to lowest terms by extracting and canceling out 3.

$$\frac{13}{2}$$

Factor

$$\frac{13}{2} = 6\frac{1}{2} = 6.5$$