Fractions on a Number Line

🎯 What Will We Learn Today?

Fractions aren't just for pizzas — they have a place on the number line too! Today we'll learn how to place fractions on a number line and use it to compare and understand fractions better.

📚 The Number Line Setup

Think of the number line as a road from 0 to 1 (and beyond). The space between 0 and 1 can be divided into equal parts:

`
0 1
|---------------------------------------|
`

The denominator tells you how many equal parts to split the space into.

🎮 Placing Fractions Step by Step

Example: Show 3/4 on a Number Line

The denominator is 4 → split 0 to 1 into 4 equal parts

Count 3 parts from 0 → that's 3/4!

`
0 1/4 2/4 3/4 1
|-----|-----|-----|-----|
↑ ↑
`

Example: Show 2/3 on a Number Line

Split 0 to 1 into 3 equal parts. Count 2 parts → 2/3!

📐 Fractions Greater Than 1

Fractions can go beyond 1! Just keep dividing:

`
0 1/3 2/3 1 4/3 5/3 2
|-----|-----|-----|-----|-----|-----|
`

4/3 means one whole (3/3) plus 1/3 more!

📊 Using the Number Line to Compare

The fraction farther to the right is always bigger:

`
0 1/4 2/4 3/4 1
|-----|-----|-----|-----|

2/4 is to the right of 1/4 → 2/4 > 1/4
3/4 is to the right of 2/4 → 3/4 > 2/4
`

You can also see that 2/4 = 1/2 — they're at the same spot!

💡 Key Insights

The denominator tells you how many segments from 0 to 1

The numerator tells you how many segments to count

Equivalent fractions land on the same point

Fractions to the right are larger

📝 Practice Problems

Draw a number line and mark 1/2.

Where is 3/4 on a number line between 0 and 1?

Which is larger: 2/5 or 4/5? Use the number line thinking.

Mark 5/4 on a number line. Is it more or less than 1?

If you split 0 to 1 into 8 equal parts, what fraction is the 3rd mark?

🎮 Play a Game!

Practice fractions with Dirt Bike Fractions!