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

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

Evaluate

$$\frac{13}{6}\approx 2.166666667$$

Solution Steps

Divide 1 by \frac{3}{2} by multiplying 1 by the reciprocal of \frac{3}{2}.

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

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

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

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

$$\frac{9}{6}+\frac{4}{6}$$

Since \frac{9}{6} and \frac{4}{6} have the same denominator, add them by adding their numerators.

$$\frac{9+4}{6}$$

Add 9 and 4 to get 13.

$$\frac{13}{6}$$

Factor

$$\frac{13}{2 \cdot 3} = 2\frac{1}{6} = 2.1666666666666665$$