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

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

Evaluate

$$\frac{7}{6}\approx 1.166666667$$

Solution Steps

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

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

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

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

Add 4 and 3 to get 7.

$$\frac{1}{3\times \frac{1}{\frac{7}{2}}}$$

Divide 1 by \frac{7}{2} by multiplying 1 by the reciprocal of \frac{7}{2}.

$$\frac{1}{3\times 1\times \frac{2}{7}}$$

Multiply 1 and \frac{2}{7} to get \frac{2}{7}.

$$\frac{1}{3\times \frac{2}{7}}$$

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

$$\frac{1}{\frac{3\times 2}{7}}$$

Multiply 3 and 2 to get 6.

$$\frac{1}{\frac{6}{7}}$$

Divide 1 by \frac{6}{7} by multiplying 1 by the reciprocal of \frac{6}{7}.

$$1\times \frac{7}{6}$$

Multiply 1 and \frac{7}{6} to get \frac{7}{6}.

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

Factor

$$\frac{7}{2 \cdot 3} = 1\frac{1}{6} = 1.1666666666666667$$