Solve 6*1/2/3*frac{1{2}+2}

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

Evaluate

$$\frac{6}{7}\approx 0.857142857$$

Solution Steps

Multiply 6 and \frac{1}{2} to get \frac{6}{2}.

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

Divide 6 by 2 to get 3.

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

Multiply 3 and \frac{1}{2} to get \frac{3}{2}.

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

Convert 2 to fraction \frac{4}{2}.

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

Since \frac{3}{2} and \frac{4}{2} have the same denominator, add them by adding their numerators.

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

Add 3 and 4 to get 7.

$$\frac{3}{\frac{7}{2}}$$

Divide 3 by \frac{7}{2} by multiplying 3 by the reciprocal of \frac{7}{2}.

$$3\times \frac{2}{7}$$

Express 3\times \frac{2}{7} as a single fraction.

$$\frac{3\times 2}{7}$$

Multiply 3 and 2 to get 6.

$$\frac{6}{7}$$

Factor

$$\frac{2 \cdot 3}{7} = 0.8571428571428571$$