What 4th-grade fractions actually look like (and what to do when your kid gets stuck).

The 30-second version.

4th graders work on five fraction ideas, in this rough order: building equivalent fractions, comparing two fractions that don't have the same bottom number, adding and subtractingfractions when the bottoms do match, multiplying a fraction by a whole number, and reading the same idea written as a decimal. They also start mixing in mixed numbers (like "two and three quarters") and learning to write them as improper fractions (like "11/4"). It's a lot, and most kids hit one specific wall before they hit any of the others.

What the work actually looks like.

1. Equivalent fractions

The first thing your child has to believe is that 1/2 and 2/4 and 4/8 are the same number — written three ways. The standard move is "multiply the top and bottom by the same number, and the fraction stays the same." On paper it looks like 2/4 = (2 × 2) / (4 × 2) = 4/8.

The slip kids make: they multiply only the top number, or only the bottom, and end up with a fraction that isn't equivalent at all. Often they can't tell, because the result still looks likea fraction. The real concept anchor is the picture: cut the same pizza into 4 slices, then cut each slice in half. You now have 8 slices, but you still have the same pizza. Two of those 4 slices, or four of those 8 slices, is the same amount of pizza.

2. Comparing fractions with different bottoms

Is 3/4 bigger than 5/8? The standard method is to make the bottoms match — turn 3/4 into 6/8 — and then compare the tops. So 6/8 is bigger than 5/8, which means 3/4 is bigger than 5/8.

The slip kids make: they compare the tops alone (5 is bigger than 3, so 5/8 must be bigger than 3/4). It's the most common fraction mix-up in 4th grade. The fix is the same picture again — fractions are about portions, and you can't compare portions until both pies are cut into the same number of slices.

3. Adding and subtracting fractions with the same bottom

2/8 + 3/8 = 5/8. Add the tops, keep the bottom. Don't add the bottoms.

The slip kids make: adding both numbers — top with top, bottom with bottom — gets you 5/16, which is wrong. (Half of what they wanted, in fact.) The cause is that the standard algorithm for whole numbers does add both columns; fractions break the rule the kid just spent 3 years building. The picture again: if you eat 2 slices out of 8, then 3 more slices out of 8, you've eaten 5 of those slices. The slices didn't get smaller along the way.

4. Multiplying a fraction by a whole number

3 × 2/5 = 6/5. Multiply the top by the whole number; leave the bottom alone. Then maybe rewrite 6/5 as the mixed number 1 and 1/5.

The slip kids make: multiplying both top and bottom (6/15), or treating the whole number as if it were a fraction over 1 and trying to find a common denominator they don't need. The clean way to think about it is repeated addition: 3 × 2/5 is three groups of two-fifths, which is 2/5 + 2/5 + 2/5, which is 6/5.

5. Decimals as fractions

By the end of 4th grade, your child should know that 0.7 means seven-tenths and 0.27 means twenty-seven-hundredths. They start comparing decimals (which is bigger, 0.4 or 0.39?) and converting between fractions and decimals.

The slip kids make: "0.39 is bigger than 0.4 because 39 is bigger than 4." This one is sneaky because it makes sense if you stop reading the decimal point. The fix is the place-value picture: 0.4 is four tenths; 0.39 is three tenths plus nine hundredths. Tenths are bigger pieces. Four tenths beats three-tenths-and-change.

Three moves you can use when your kid gets stuck.

You don't have to be a math tutor to help. Three things, in order:

Move 1 — "Show me what you did."

Don't say "that's wrong." Don't say "let me show you." Just ask your child to read their work back to you out loud. Most slips become visible to them the moment they have to say them out loud. You don't have to know the right answer to get this benefit — your job is to be the audience.

Move 2 — Switch to a smaller version of the same problem.

If your child is stuck on 3/4 + 5/8, ask them to do 1/2 + 1/4first. The smaller numbers don't trip the brain on arithmetic; the kid usually can see the structure (we have to make the bottoms match) when there's less digit-juggling to do. Then come back to the bigger one. This is what tutors do. It's not cheating.

Move 3 — Anchor on the picture.

For every fraction problem at this grade level, there's a picture that makes the math obvious. Pizza slices, chocolate bars, a number line, a grid. If your child has lost the thread, draw the picture before you write any more numbers. It usually takes 30 seconds and saves the next 10 minutes.

What you don't have to do.

You don't have to remember how you learned this in school. The "common denominator" lecture that got drilled into you in 1991 still works, but most 4th graders today are taught to find equivalent fractions by area picture before they ever see the algorithm. If your child shows you something that looks weird — grids with shaded squares, fraction circles, bar models — that's working as designed. The picture comes first; the algorithm comes after the picture lands.

And you don't have to feel responsible for teaching the whole subject. Your job at the kitchen table isn't to be the tutor. It's to be the calm adult in the room when the work gets hard.

What we're doing about it.

The reason we're writing this post: we built an AI tutor specifically for the moment your child gets stuck on this kind of problem. It's built to watch a real paper worksheet on your kitchen table — the same worksheet you'd be staring at — and ask the small question that hands the next move back to your child. It never gives the answer. The pencil stays in your child's hand. The work stays on paper. (That paper-watching flow is rolling out; today's interim build uses typed input.) See how it works.

If you want to know when it's available, drop your email at the waitlist. We email a few times. Total. From a real person.