Fractions

See fractions as pieces of a bar — then compare and combine them

A fraction like 3/4 means you split something into 4 equal parts and take 3 of them. But what does that really look like?

In this lesson, the AI builds bar models on the graph — rectangles split into equal slices. You can see that 1/2 = 2/4 = 3/6 because the shaded area is the same size. Adding fractions? Just find a common split and count the shaded pieces.

Ask the AI to show you any fraction — try "Show me 2/3" or "Which is bigger, 3/5 or 2/3?"

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What is a fraction?
A fraction represents a part of a whole. The bottom number (denominator) tells you how many equal parts the whole is split into. The top number (numerator) tells you how many parts you have. For example, 3/4 means 3 out of 4 equal parts.
How do I find equivalent fractions?
Multiply (or divide) both the numerator and denominator by the same number. 1/2 = 2/4 = 3/6 = 4/8 — they all represent the same amount. The bar model makes this visible: the shaded region is always the same size.
How do I add fractions with different denominators?
Find a common denominator first. For example, to add 1/3 + 1/4, rewrite as 4/12 + 3/12 = 7/12. The bar model shows why: you need the same-sized pieces before you can count them together.
How do I compare fractions?
Either find a common denominator and compare numerators, or convert to decimals. On the bar model, the fraction with more shaded area is larger. For example, 3/5 = 0.6 and 2/3 ≈ 0.667, so 2/3 is slightly bigger.
What can it graph?
It can plot explicit, implicit, and parametric functions, add points and geometry, and animate sliders on the same graph.
Can I use voice or a photo?
Yes. You can talk to the tutor, upload a worksheet or handwritten problem, and let the graph update from that input.
Will it explain the steps?
Yes. The AI explains what it is drawing and why, so you see the answer on the graph instead of getting only a final number.