Solve 3/2+5/frac{3{2}}

$$\frac { \frac { 3 } { 2 } + 5 } { \frac { 3 } { 2 } }$$

Evaluate

$$\frac{13}{3}\approx 4.333333333$$

Solution Steps

Convert 5 to fraction \frac{10}{2}.

$$\frac{\frac{3}{2}+\frac{10}{2}}{\frac{3}{2}}$$

Since \frac{3}{2} and \frac{10}{2} have the same denominator, add them by adding their numerators.

$$\frac{\frac{3+10}{2}}{\frac{3}{2}}$$

Add 3 and 10 to get 13.

$$\frac{\frac{13}{2}}{\frac{3}{2}}$$

Divide \frac{13}{2} by \frac{3}{2} by multiplying \frac{13}{2} by the reciprocal of \frac{3}{2}.

$$\frac{13}{2}\times \frac{2}{3}$$

Multiply \frac{13}{2} times \frac{2}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{13\times 2}{2\times 3}$$

Cancel out 2 in both numerator and denominator.

$$\frac{13}{3}$$

Factor

$$\frac{13}{3} = 4\frac{1}{3} = 4.333333333333333$$