1. Visualise fractions — Learner Route

Fractions · Step 1

What does a fraction look like?

Before we write fractions, let’s build some. A fraction starts with a whole. Then we split the whole into equal parts.

Puzzle 1

Can you put the pizzas back together?

On a computer, drag a loose piece onto the pizza it belongs to. On a phone, select a piece, then select the pizza it belongs to.

Loose pizza pieces
Puzzle 2

Can you rebuild the chocolate bars?

The whole does not have to be a circle. Match the rectangular pieces to the bars they complete.

Loose chocolate pieces

Meet some familiar fractions

Let’s stay with a few useful fractions first. Choose one and watch what happens to the whole.

Write what you just made

You already know what the picture means. Now let’s look at how we write it.

3/4
The same fraction can be written with a horizontal bar:
Click each part of the fraction.
Try it:

Click the top number, the line, or the bottom number to see what each part tells us.

All the parts make one whole

When every part is there, we have one whole.

2/2 = 1
3/3 = 1
4/4 = 1

All the equal parts together make one whole.

Two halves make one orange.

Three thirds make one lemon.

Four quarters make one lime.

Notice: the fewer equal pieces a whole is split into, the larger each piece is.

Build your own fraction

Now choose the whole, how many equal parts it has, and how many of those parts you want to show.

Range: denominator 1–12. Numerator 0–12, but it cannot be larger than the denominator in this builder.

Tip: set the denominator first. The numerator limit updates to match it.
Method Trainer

One quick question at a time

Try five new examples. Your answers feed into your Practice Lab log on this device.

Question 1 of 5 · 0 answered

You have learned

A whole can be split into equal parts. You have met halves, thirds and quarters, and you know what numerator and denominator mean.

Next: can one half and two quarters be the same amount?