Blog articles answer four needs, with a starting article for each: preparing a lesson, practicing with exercises, understanding a procedure, or reading a curiosity. Pick your case in the table. Each row leads to one article and shows a calculation you can check yourself.
| I need to | Start with | A calculation from the article |
|---|---|---|
| Prepare a lesson | Five classroom activities | 1/3 + 1/4 = 7/12: a card with the wrong sum 2/7 to discuss |
| Practice or help at home | Helping without doing the homework | 1/2 + 1/3 = 5/6: the conversation that corrects the learner's 2/5 |
| Understand a procedure | Successive discounts | 4/5 × 4/5 = 16/25: two 20% discounts leave 64% |
| Read a curiosity | The 17 camels | 1/2 + 1/3 + 1/9 = 17/18 |
If the calculation is new to you, open that article. If you already know it, look at the section that best matches your case.
How to choose among the four routes
The classroom route assumes you already know what a fraction is and have someone to teach, even a brother or sister. The home route asks for even less, just patience and a pencil, because each reading focuses on one specific mistake and the question that undoes it. Everyday procedures ask you to multiply and divide simple fractions, and they reward you with a calculation you can reuse in any store. Curiosities ask for nothing, but they are more fun once you have added fractions with different denominators.
The four routes do not exclude one another, and moving from one to another is normal. Someone preparing a lesson often ends up on the home route, because the mistakes they expect in class are the same ones that show up at a kitchen table. Someone reading a curiosity for fun often returns to an everyday procedure after finding that the same calculation works for a sale. That is why each article is written to be read on its own, without requiring the others, and repeats the essentials instead of pointing to another text.
If you hesitate between two routes, decide by the time you have. With ten minutes, a curiosity or an everyday procedure can be read in full. With an afternoon, the classroom route leaves you with a prepared session. And if you want to fix a mistake that keeps repeating, start with the home route, even if you have nobody to help, because the mistakes it describes are the same ones made when studying alone.
To prepare a lesson
These readings start from cheap materials, like paper, tape, or a card, and from questions that make students justify the answer instead of just writing it. They suit anyone teaching in elementary school and also anyone reviewing on their own with strips and a number line. At the end you will have a session ready to run or a worksheet with an answer key ready to print. If you need more material, the worksheet generator creates new sheets with their solutions.
- Five fraction activities for the classroom. A 40-minute session with strips, a number line, and a wrong calculation to discuss.
- How to create fraction worksheets with answer keys. How to order the difficulty of a sheet and which answers to accept.
- Why fractions are hard to learn. The whole-number rules that fail with fractions, so you can see where students get stuck.
To practice and help at home
Here the goal is to support learners without taking the work away from them. An adult who sees a mistake can ask a question instead of giving the answer, and a person studying alone can read their own solution line by line until they find the first false equation. These are short, basic-level readings that you can apply on the next assignment. To check your own answers, fraction practice corrects each exercise right away.
- How to help with fractions without doing the homework. A table of common mistakes with the question that helps uncover each one.
- How to read the steps of a fraction solution. For anyone who already has a solution and wants to find where it goes wrong.
To understand an everyday procedure
Discounts, taxes, grades, or a budget use fractions even if nobody writes them. These articles take a calculation done every day and rebuild it with fractions, so you know why you divide in one case and multiply in another. The result is a quick check you can repeat with your own figures. Many of these calculations can be done with the fraction calculator or with the applications.
- Successive discounts. Why two chained discounts do not add up.
- How to remove tax from a price. Recovering the pre-tax price with a division.
- How to calculate a test grade. Turning correct answers into a grade and finding a weighted average.
- The 50/30/20 rule with fractions. Splitting a budget into three parts with fractions.
To read a curiosity
Curiosities show that fractions reach beyond the notebook: to an inheritance split, a musical score, the calendar, or a computer. They need no preparation and each fits in a short read. Start with the one that catches your eye, because there is no required order.
- The 17 camels. The impossible inheritance split that works out with one borrowed camel.
- Fractions in music. Note values, dots, and time signatures as sums of fractions.
- Why 0.1 + 0.2 is not 0.3 on a computer. Decimals are stored in binary, while the exact calculation with fractions comes out right.
The rest of the articles appear further down, under “More resources,” with a line explaining what each one is about. For longer readings on a specific topic there are the guides, and teachers will find more material in the teacher resources.
A source for teachers
The classroom-preparation readings can be completed with a reference for grade expectations. The Common Core State Standards for Mathematics group fractions in the Number and Operations—Fractions domain, which starts in grade 3 with understanding a fraction as a quantity made of equal parts of a whole, placing fractions on a number line, and comparing equivalent fractions (thecorestandards.org, accessed October 17, 2026). It helps you see which fraction skills usually come before others when you plan a session.