Respuesta :

common denominator of 2/3 and 1/2 is 6. THis makes 2/3=4/6 and 1/2=3/6


our new equation is 4/6+ 3 3/6= 3 7/6=4 1/6

[tex]3\frac{1}{2} =\frac{7}{2}[/tex] so the equation can be rewritten as 2/3+7/2.


When adding fractions, you need to make sure the denominators are the same.  To do this, multiply the fractions that a number that will make them equal.  In this question, we can use 2 for the first fraction and 3 for the second fraction:

[tex]\frac{2}{3} *\frac{2}{2} =\frac{4}{6}[/tex]

[tex]\frac{7}{2} * \frac{3}{3}= \frac{21}{6}[/tex]

Now, the equation is 4/7+21/6.

You can solve by adding the numerators, keeping the denominators, and simplifying.

4+21=25

25/6 cannot be simplified so this is the final answer.


Hope this helps!!