Fractions on a Number Line Worksheet
Twelve number lines, each marked in equal parts with one point shown. In Part A the lines run from 0 to 1. In Part B they run from 0 to 2, and every point is past 1, so students name fractions greater than one whole, such as 5/4.
- Grade
- Grade 3
- Problems
- 12
- Time
- About 15 minutes
- Standard
- 3.NF.A.2
Download
Download PDF (US Letter) Download PDF (A4)Two pages: the worksheet, then the answer key. No sign-up needed.
Part A: Between 0 and 1 Write the fraction for each point.
- 28
- 18
- 68
- 26
- 58
- 24
- 36
- 56
Part B: Between 0 and 2 Some points are past 1. Count every equal part from 0.
- 74
- 64
- 32
- 43
Tips for teachers and parents
- Have students count the spaces between 0 and 1, not the tick marks. Four spaces means each space is one fourth.
- Then count spaces from 0 to the point. That count is the top number of the fraction.
- In Part B, keep counting past 1. A point three spaces past 1 on a line in fourths is 7/4, because it is seven fourths from 0.
- Link back to shaded shapes: a number line is like a fraction strip stretched out flat.
Common mistakes
- Counting tick marks instead of spaces, which gives a denominator that is one too big (5 instead of 4).
- Starting the count again at 1 in Part B and writing 3/4 instead of 7/4.
What to practice next
Comparing fractions with like denominators is easier to understand when students picture both fractions on one number line.
Frequently asked questions
What denominators are used on these number lines?
2, 3, 4, 6 and 8, the denominators listed in the grade 3 fraction standards.
Why does Part B go past 1?
The standard asks students to see fractions as numbers on the line, including fractions greater than 1. Counting equal parts past 1 shows that 5/4 is just one more fourth than 4/4.
Is there an answer key?
Yes, page 2 shows every number line with the correct fraction.