Because halves and thirds are frenemies. They don’t play nice in the same cup. A half is 0.5, and a third is roughly 0.333. They’re like that couple who can’t agree on a movie: one wants action, the other wants drama.
But here’s the secret: we’re not splitting atoms. We’re just measuring flour. And you have the power to outsmart a fraction.
The simple answer (you can bake right now)
1/2 cup plus 1/3 cup equals 5/6 cup. Yes, really. That’s it. No, a 5/6 cup measure doesn’t exist in your drawer, but don’t freak out yet.
Think of it this way: if you had a pizza cut into six slices, half of it is three slices. A third is two slices. Add them together, and you’ve got five slices. That’s a lot of pizza, and a perfectly usable amount for your recipe.
So, in measurement terms: you’re looking for 5/6 of a cup. Which sounds fancy but is actually just “a little less than a full cup.” See? Not so scary.