[tex]\frac{3}{4}+\frac{2}{3}[/tex]
In order to add (or subtract) fractions they must have a common denominator. In this case 12 makes a good choice since 12=LCM(3,4).
First convert each fraction to an equal one with a denominator of 12:
[tex]\frac{3}{4}=\frac{3\times3}{4\times3}=\frac{9}{12}[/tex]
[tex]\frac{2}{3}=\frac{2\times4}{3\times4}=\frac{8}{12}[/tex]
No we can add:
[tex]\frac{9}{12}+\frac{8}{12}=\frac{17}{12}[/tex]
We can simplify and write in other forms if required:
[tex]\frac{17}{12}=1\frac{5}{12}\approx1.41^{\frac{}{6}}[/tex]
