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Fractions on a number line
The number line is how 3rd graders learn that a fraction is a number, with its own place between the whole numbers. It's also the picture that makes comparing and equivalent fractions easiest to see later on.
To place fourths, split the space from 0 to 1 into 4 equal jumps. Each jump is 1/4. The marks are 1/4, 2/4, 3/4 and 4/4, and 4/4 sits exactly on 1.
Worked examples
- Counting jumps. Three jumps of 1/4 lands on 3/4: 1/4 + 1/4 + 1/4 = 3/4.
- Same spot, different names. Draw halves and fourths on the same line. The 1/2 mark and the 2/4 mark line up, so 2/4 = 1/2.
- Comparing. On a number line, the fraction further right is bigger: 5/8 > 3/8.
- Past 1. Keep jumping in fourths after 1: the next mark is 5/4, which is 5/4 = 1 1/4.
6 practice questions
- 1/4 + 1/4 + 1/4 = ?
- 2/4 = ?/8
- 3/8 ◯ 5/8
- 2/3 ◯ 5/6
- 5/4 ◯ 1
- 1/3 = ?/6
Use <, > or = for the ◯.
Show answers
- 1/4 + 1/4 + 1/4 = 3/4
- 2/4 = 4/8
- 3/8 < 5/8
- 2/3 < 5/6
- 5/4 > 1
- 1/3 = 2/6
Tips for parents
- Make sure the jumps are equal. Uneven jumps are the most common mistake.
- Label 0 and 1 first, then split the space.
- Use a ruler: inches are split into halves, fourths and eighths.
Questions parents ask
What grade learns fractions on a number line?
In the US Common Core standards, it's a 3rd grade skill. Children use it again in 4th and 5th grade for comparing and adding fractions.