Comparing 3/4 and 5/8, Diya says 3/4 is bigger because 4 is a smaller denominator, and a smaller…
Comparing 3/4 and 5/8, Diya says 3/4 is bigger because 4 is a smaller denominator, and a smaller denominator always means a bigger fraction. Is 3/4 actually bigger, and is her reason solid?
Who do you think is right? Pick one.
The answer: The answer's right, not the reason
Why
Diya's conclusion is correct — 3/4 really is bigger than 5/8. Turn both into eighths to check: 3/4 = 6/8, and 6/8 is more than 5/8. But her general rule, "smaller denominator always means bigger fraction," breaks the moment you test it elsewhere. Compare 1/3 and 2/4: 3 is the smaller denominator, yet 1/3 (about 0.33) is SMALLER than 2/4 (0.5) — the exact opposite of what her rule predicts. The denominator alone never decides a comparison; you also have to know how many pieces you're counting, the numerator. The only way to compare fractions properly is to rewrite them with a shared, common denominator so the pieces are the same size, then simply compare how many pieces each has — which is exactly how 3/4 (as 6/8) beats 5/8. A rule that gets today's answer right but breaks on the very next question isn't a rule you can trust — it's a coincidence wearing a rule's clothes.
On Socho, you explain your thinking out loud and a coach asks about YOUR reasoning — one question a day, free, in Hindi, Hinglish or English.
Try a question on Socho →More disagreements in Fractions