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

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

Evaluate

$$\frac{5}{2}=2.5$$

Solution Steps

Divide 2 by 2 to get 1.

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

Divide 3 by 3 to get 1.

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

Divide 3 by 3 to get 1.

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

Divide 1 by 1 to get 1.

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

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

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

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

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

Convert 1 to fraction \frac{2}{2}.

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

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

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

Add 3 and 2 to get 5.

$$\frac{5}{2}$$

Factor

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$