Solve 1/2+2/3*6/2*2/3

$$\frac { 1 } { 2 } + \frac { 2 } { 3 } \times \frac { 6 } { 2 } \times \frac { 2 } { 3 }$$

Evaluate

$$\frac{11}{6}\approx 1.833333333$$

Solution Steps

Divide 6 by 2 to get 3.

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

Cancel out 3 and 3.

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

Express 2\times \frac{2}{3} as a single fraction.

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

Multiply 2 and 2 to get 4.

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

Least common multiple of 2 and 3 is 6. Convert \frac{1}{2} and \frac{4}{3} to fractions with denominator 6.

$$\frac{3}{6}+\frac{8}{6}$$

Since \frac{3}{6} and \frac{8}{6} have the same denominator, add them by adding their numerators.

$$\frac{3+8}{6}$$

Add 3 and 8 to get 11.

$$\frac{11}{6}$$

Factor

$$\frac{11}{2 \cdot 3} = 1\frac{5}{6} = 1.8333333333333333$$