Hey!
Here is the equation:
[tex]\frac{7}{9} + \frac{2}{3}[/tex]
The denominator for the two fractions are:
[tex]9[/tex] and [tex]3[/tex]
Since they DO NOT have the same denominator, you need to change them. To do that, first find the LCM of the 2 numbers by listing their multiples and finding the common ones.
3 - 3, 6, 9, 12, 15, 18
9 - 9, 18, 27, 36, 45
In the multiples listed above, the common ones are 9 and 18. Since 9 is less than 18, the new denominator should be 9. Now you can change the fractions.
[tex]\frac{7 \times 1}{9 \times 1} = \frac{7}{9}[/tex]
[tex]\frac{2 \times 3}{3 \times 3} = \frac{6}{9}[/tex]
Here is your new equation:
[tex]\frac{7}{9} + \frac{6}{9}[/tex]
Add the fractions:
[tex]\frac{7}{9} + \frac{6}{9} = \frac{13}{9}[/tex]
[tex]\frac{13}{9}[/tex] is an improper fraction, so you can simplify it.
[tex]\frac{13}{9} \rightarrow 1 \frac{4}{9}[/tex]
Your answer is: [tex]1 \frac{4}{9}[/tex]
Good luck! If you have any questions, feel free to ask in the comments!
