Rohit says 1/8 is bigger than 1/4, because 8 is a bigger number than 4
Rohit says 1/8 is bigger than 1/4, because 8 is a bigger number than 4. Sana disagrees. Who is right?
Who do you think is right? Pick one.
The answer: Sana is right, 1/4 is bigger
Why
Rohit is doing exactly what works for whole numbers — 8 really is bigger than 4, and with whole numbers that would settle it. A fraction's denominator doesn't behave the same way, because it tells you how many pieces you're CUTTING something into, not how much you're getting. Picture one roti cut into 4 pieces versus the same roti cut into 8 pieces — cutting it into more pieces makes each piece SMALLER, not bigger. 1/4 of the roti is a decent-sized wedge; 1/8 is half that wedge. So 1/4 is actually the bigger amount, even though 4 is the smaller number written down. Try it with real objects: fold a strip of paper into 4 equal parts and another identical strip into 8 equal parts, then hold one part from each side by side — the quarter is visibly larger. Sana is right: a bigger denominator means smaller pieces, so it usually points to a SMALLER fraction, exactly the opposite of what whole-number thinking suggests.
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