In the world of math, the word “of” is a sneaky little command. When you see “half of 3/4,” it’s really saying “multiply 1/2 times 3/4.” Fractions multiply horizontally, like a lazy cat stretching across your keyboard. So you take the top numbers (1 and 3) and multiply them: 1 × 3 = 3. Then you take the bottom numbers (2 and 4) and multiply them: 2 × 4 = 8. Boom—3/8 appears, like a magic trick that only uses parentheses.
If you want to get visual, imagine a pie. A whole pie is glorious. But we’re dealing with 3/4 of that pie—so it’s a bit less than a full sugar coma. Now imagine slicing that 3/4 pie in half. Each half is a skinny, slightly sad wedge. That wedge is exactly 3/8 of the original pie. Don’t feel bad for the pie—it’s already been eaten in this hypothetical scenario.
Here’s a surprising fact: fractions were used in ancient Egypt, but they didn’t allow fractions like 3/8. They only used unit fractions (like 1/2, 1/4, 1/8). So to express half of 3/4, an Egyptian scribe would have had to scribble “1/4 + 1/8,” which is basically the same thing but sounds way fancier. Try casually dropping that at your next dinner party—I dare you.
