Thanks @Add2019. In this case, I recommend you to uninstall the disc version of the game and install the games through Origin. That should help 🙂
First of all, you should redeem your codes in Origin or thesims3.com if you haven't done that already. To redeem your codes, you would need to open Origin, log into your account (same account you have the base game in) and go to Origin > Redeem a Product Code in the main menu. You can also do it in thesims3.com, but keep in mind that each code can only be redeemed once, and you want to redeem the base game and your packs in the same account!
If you don't have the Origin application installed in your computer, you can get it from here.
Once redeemed, it's time to uninstall the disc version of the game. Our Mac helper, @Bluebellflora explains here how she uninstalls her The Sims 3 games from her Mac.
When the uninstallation is complete, just click on the game in your Game Library to start the download through Origin.
Let us know if you have any questions 🙂
-Mai