Fractions for kids, explained with pizza and with numbers
A fraction names part of a whole that has been split into equal parts: half a pizza, a quarter of a cake, a third of the cookies. In the early grades, fractions are built first with objects and drawings, then with numbers. Here is how to explain them, in what order, and which mistakes to watch for.
Start with equal parts
Before writing 1/2, your child needs the key idea: a fraction is part of a whole split into equal parts. Cut an apple in two uneven pieces and ask: are these halves? No, because they're not the same size.
Pizza, cake, a chocolate bar, a folded sheet of paper: everyday objects are the best material. Folding paper into 2, then 4, then 8 also shows that the more parts there are, the smaller each part gets. In US schools, kids meet halves and fourths in 1st and 2nd grade.
Numerator and denominator
In 3/4 the bottom number, the denominator, tells how many equal parts the whole is split into: 4. The top number, the numerator, tells how many parts we take: 3. One way to remember: the denominator names the parts (thirds, fourths, eighths), the numerator counts them.
A useful exercise: draw a cake cut into 6 slices, color 2 of them and ask your child to write the fraction (2/6). Then the other way round: write 5/8 and ask them to color it. Reading a fraction and building one are two different skills, and kids need both.
- 1/2 = one half
- 1/3 = one third
- 1/4 = one fourth, or one quarter
- 3/4 = three fourths
A fraction of a number
Around 3rd grade, kids find a fraction of a quantity: what is 1/3 of 12? Share 12 candies into 3 equal groups and there are 4 in each group. So 1/3 of 12 = 4: you divide by the denominator.
With real objects like candies, blocks or stickers, your child sees that finding a fraction of a number is a division. For 2/3 of 12, take two groups: 4 + 4 = 8. Always start with unit fractions, the ones with 1 on top.
Comparing fractions
Here's the best-known trap: many kids think 1/8 is bigger than 1/4 because 8 is bigger than 4. One pizza settles it: shared among 8 people, each slice is smaller than when shared among 4.
Two simple rules for these grades: with the same denominator, the fraction with the bigger numerator is bigger (3/5 is more than 2/5); with the same numerator, the fraction with the smaller denominator is bigger (1/3 is more than 1/6). Have your child draw both fractions side by side before answering.
Common mistakes and practical tips
A few minutes at a time is enough, as long as there's something to touch. The kitchen is the perfect lab: half a cup of milk, a quarter of a cake, a pizza to share among four.
- Unequal parts: always remind them the slices must be the same size.
- Reading 3/4 as “three and four”: teach the names right away (thirds, fourths, fifths).
- Counting the uncolored parts instead of the colored ones: ask “how many did you take?”.
- Jumping to calculations too soon: lots of pictures first, then numbers.
How Lalo Academy practices it
In Lalo Academy, fractions are part of the Numbers game, which is free. Your child looks at a pie cut into slices, some of them colored, and types the fraction: top number first, then bottom. In another exercise a fraction such as 3/4 is written out and your child taps the matching pie among three.
The third exercise is a fraction of a number: the quantity is shown in equal groups, so your child can see that 1/3 of 12 means splitting 12 into three groups and counting one. When an answer is wrong, the correct one is shown and explained gently. Sessions last 5–10 minutes, with no ads, and work offline.
FAQ
What grade do kids learn fractions?
Halves and fourths appear with shapes in 1st and 2nd grade; numerators, denominators and fractions on a number line are usually a 3rd grade topic.
Why does my child think 1/8 is bigger than 1/4?
They're comparing the bottom numbers as if they were whole numbers. Have them split the same pizza into 4 and then into 8: more parts means smaller slices.
How do you find a fraction of a number?
Divide the number by the denominator, then multiply by the numerator. For 1/3 of 12, just divide: 12 ÷ 3 = 4.
Do I need special materials?
No: pizza, cake, folded paper, candies and blocks are enough. What matters is that your child touches and shares things out before working on paper.