You’re at a party. Someone pours 1/3 cup of punch into a giant glass. Then they pour 1/2 cup into a tiny shot glass. The shot glass looks full to the brim. The giant glass looks pathetic.
Your brain shouts, “The shot glass has more!” But no. You’ve been bamboozled by volume and vessel. Measure them side by side. 1/2 cup always wins. Unless the glass is a trickster—then it’s a physics prank.
This is why you should never trust a bartender who says, “Don’t worry, 1/3 is enough.” They’re either cheap or a comedian. Either way, you need a ruler for your booze.
A Quirky Math Shortcut
Here’s a fun trick: To compare any two fractions, cross-multiply. Take 1/3 and 1/2. Multiply 1 × 2 = 2. Multiply 1 × 3 = 3. The bigger product (3) tells you the bigger fraction. Boom—1/2 wins.
But who does that in a kitchen? You’re covered in flour and crying over a broken egg. So just remember: 1/2 is always the party host—it brings more to the table.
Quirky fact: If you stacked 1/3 cups inside a 1/2 cup, you’d need one and a half 1/3 cups to fill it. That’s 1.5 scoops. But good luck eyeballing that.
What Is Half Of 2/3 Cup Liquid at George Vaughan blog