The denominator
The bottom number tells you how many equal parts make the whole. In 3/4, the denominator 4 means the whole is divided into four equal parts.
Free visual learning path
Build real understanding with short visual lessons, guided practice, and immediate feedback. Start with equal parts, then move through fraction models, comparison, addition, and subtraction—in an order that makes sense.
A fraction describes equal parts of one whole. It tells you how many equal parts exist and how many of those parts you are talking about.
The bottom number tells you how many equal parts make the whole. In 3/4, the denominator 4 means the whole is divided into four equal parts.
The top number tells you how many of those equal parts are selected, shaded, used, or counted. In 3/4, the numerator 3 means three parts are selected.
A picture connects the numbers to their meaning. If a shape is divided into eight equal pieces and five are shaded, you can see 5/8 before you use a rule. Visual models also help you notice common mistakes: unequal pieces do not form a correct fraction model, and a larger denominator does not automatically mean a larger fraction. The lessons use pictures first, then connect what you see to the symbols.
Work through the lessons in sequence if fractions are new or confusing. If you already know the basics, go directly to the skill you need.
These ideas make the later procedures easier to understand instead of memorize.
Why does the denominator stay 7? Every piece is still one seventh of the same whole. You combine two of those pieces with three more, so you now have five sevenths. The size of each piece has not changed.
A short, focused plan is better than rushing through everything once.
Start with Lesson 1 or choose the lesson closest to your test topic. If it feels easy, move forward.
Answer before looking for help. When an answer is wrong, use the visual feedback to find out why.
Repeat the difficult lesson the next day. If you can explain the idea aloud, you probably understand it.
The Fraction Calculator supports addition, subtraction, multiplication, and division with fractions and mixed numbers.
Begin with visual models and equal parts. Once you can connect a written fraction to a picture, ideas such as comparison, addition, and subtraction become much easier to understand.
Learn what one whole means, why its parts must be equal, and what the numerator and denominator tell you. Lessons 1 and 2 cover that foundation.
Choose the lesson that matches the test topic, answer every practice question, and repeat the lesson later without help. Spend extra time on the first step that feels unclear instead of memorizing a rule you do not understand.
Yes. It gives the exact result, visual models, and step-by-step help for the calculation. Use it to check your reasoning after you try the problem yourself.
Yes. The 10 published lessons and the Fraction Calculator on Learn-Fractions.com are free to use, and no learner account is required.
Begin with equal parts and build one idea at a time.