What grade does comparing fractions belong to?

Third grade mostly, with fourth grade extending it to fractions that need renaming. This game is aimed at grades 3 to 5 and uses halves, thirds, fourths, sixths and eighths.

She gets these right with the pictures but not on a worksheet. Is the game doing anything?

Yes, and that gap is the normal next step rather than a failure. The pictures build the intuition; the worksheet asks for it with the picture removed. Ask her to say why before she taps, so the reasoning travels rather than the image.

What comes after this?

Renaming both fractions with the same bottom number, which is how fourth and fifth grade compare anything. Fraction Match covers the equivalent fractions that renaming depends on, and A graded practice set is the next step if you want the work checked rather than played.

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Bigger Fraction

Which fraction is larger?

Grades 3-5 · Comparing fractions by size

How to play

1Two fractions appear, each with a picture.
2Tap the one that is larger.
3A bigger bottom number means more pieces, so each piece is smaller. Use the pictures.
4Build a streak of correct comparisons.

Try a few

Which is bigger, 2/3 or 2/8?
Answer: 2/3
The top numbers match, so this is not a race between 3 and 8. Both fractions are two pieces; the only question is how big one piece is. Cut a whole into 3 and you get chunks, into 8 and you get slivers. Two chunks beat two slivers.
Which is bigger, 3/4 or 5/6?
Answer: 5/6
Neither the tops nor the bottoms match, so compare each one with a whole instead. 3/4 is one fourth short of a whole; 5/6 is one sixth short. A sixth is the smaller gap, so 5/6 has less missing.
Which is bigger, 3/8 or 1/2?
Answer: 1/2
Use one half as a measuring stick. Half of 8 is 4, so 4/8 is exactly one half. This fraction has only 3 on top, so it sits below a half. No renaming needed.

Why this game helps

The classic fraction trap is thinking a bigger bottom number means a bigger fraction, so a child ranks one eighth above one half because eight beats two. It is a reasonable guess and exactly backwards: the more equal pieces you cut a whole into, the smaller each piece becomes, so one eighth is tiny next to one half. Comparing fractions with the pictures right there rebuilds the intuition that the denominator sizes the pieces, not the fraction. That single correction unlocks most of what makes fractions confusing later.

If your child finds this hard

The error to listen for is not the famous one. It is a child comparing the two top numbers and the two bottom numbers as two separate races. Asked about 3/4 and 5/6 they answer 5/6, because 5 beats 3 and 6 beats 4. Right answer, broken rule, and nothing looks wrong until the same rule meets 3/8 and 1/2, where 3 beats 1 and 8 beats 2 and the child picks the smaller fraction.

The cure is one move: compare each fraction with a half before comparing them with each other. Halve the bottom number and look at the top. Half of 6 is 3, so 5/6 is well over a half; half of 8 is 4, so 3/8 is under. Two fractions on opposite sides of a half need no further work. Say it out loud with the bars still on screen.

If your child cannot yet tell you what the bottom number counts, comparing is too early and the pictures are doing all the work. Fraction Match is the game for that stage, and it is worth a few sessions first.

Common questions

What grade does comparing fractions belong to?: Third grade mostly, with fourth grade extending it to fractions that need renaming. This game is aimed at grades 3 to 5 and uses halves, thirds, fourths, sixths and eighths.
She gets these right with the pictures but not on a worksheet. Is the game doing anything?: Yes, and that gap is the normal next step rather than a failure. The pictures build the intuition; the worksheet asks for it with the picture removed. Ask her to say why before she taps, so the reasoning travels rather than the image.
What comes after this?: Renaming both fractions with the same bottom number, which is how fourth and fifth grade compare anything. Fraction Match covers the equivalent fractions that renaming depends on, and A graded practice set is the next step if you want the work checked rather than played.

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