Fractions sound scary until you see one. Here is the whole idea, built from pizza slices and chocolate bars, with a tool your child can play with.
A fraction is just a way to talk about part of something whole. That is the entire idea. Your child already understands fractions in real life. They know that half a cookie is less than a whole cookie, and that a slice of pizza is a piece of the whole pie. Fractions are only the math words for things kids already feel.
The trouble usually starts when the pizza turns into two numbers stacked on top of each other. So let us keep the pizza in the picture the whole way through, and the two numbers will stop looking strange.
Picture a chocolate bar snapped into 4 equal pieces. You eat 3 of them. How much did you eat? Three quarters, written (3)/(4). The two numbers each answer a different question.
Bottom number: how many equal parts in all. Top number: how many we are counting.
The word "equal" is doing a lot of work: The parts have to be the same size. If you snap a chocolate bar into one huge piece and three tiny slivers, those are not quarters. Kids who cut a shape into "4 parts" of different sizes and call one of them a quarter have missed the most important word. Equal parts, every time.
Here is a tool that shows any fraction as both a bar and a pie. Change the bottom number and watch the whole get cut into more or fewer pieces. Change the top number and watch more pieces get shaded. Let your child predict what will happen before each change, then check.
This surprises almost every child, so it is worth slowing down. Which is bigger, (1)/(2) or (1)/(8)? Kids often say (1)/(8), because 8 is bigger than 2. But think about the pizza. Cut a pizza into 2 pieces and each piece is huge. Cut the same pizza into 8 pieces and each piece is small. So (1)/(2) is much bigger than (1)/(8).
Try it at snack time: Cut a piece of toast or a tortilla into 2, then 4, then 8. Let your child hold the pieces. Feeling that 1/8 is smaller than 1/2 with their own hands beats any worksheet. This is the moment the whole topic clicks for a lot of kids.
If a chocolate bar has 4 pieces and you have all 4 of them, you have (4)/(4), which is the whole bar. Any fraction where the top equals the bottom is one whole: (2)/(2), (5)/(5), (8)/(8) are all just 1. This little fact quietly explains a lot of fraction math later, so it is worth pointing out early.
The fastest way to make fractions feel normal is to name them out loud during the day. You do not need a worksheet for this.
The top is the numerator and the bottom is the denominator. The denominator tells you how many equal parts the whole is divided into; the numerator tells you how many of those parts you are counting.
Use food. Cut a piece of toast or a chocolate bar into equal parts and talk about how many parts there are and how many you are taking. The physical, equal pieces make the two numbers make sense.
Because the whole is the same size in both. Cutting it into 2 parts makes bigger pieces than cutting it into 4, so (1)/(2) is bigger than (1)/(4). More pieces means each piece is smaller.
Children usually meet simple fractions like halves and quarters in first and second grade, then work with more fractions through third and fourth grade.