Fractions on a Number Line
Count by Halves
Fill in the missing numbers. Count by halves (think: 1 = 2/2).
Count by Quarters (Set A)
Fill in the missing fractions (1 = 1/4, 2 = 2/4, etc.).
Count by Quarters (Set B)
Fill in the missing numbers.
Count by Thirds
Fill in the missing numbers (count by thirds: 1 = 1/3, 2 = 2/3, etc.).
Match Fractions to Number Line Positions
Match each fraction to where it belongs on a number line from 0 to 1.
Match Fractions to Positions (Fifths)
Match each fraction to its position between 0 and 1.
Where on the Number Line? (Set A)
Circle where this fraction belongs on a number line from 0 to 1.
1/2 is:
1/4 is:
3/4 is:
1/10 is:
Where on the Number Line? (Set B)
Circle where this fraction belongs.
9/10 is:
1/3 is:
2/3 is:
1/8 is:
Which Fraction Is Greater? (Set A)
Circle the fraction that is further along the number line (greater).
Which is greater?
Which is greater?
Which is greater?
Which is greater?
Which Fraction Is Greater? (Set B)
Circle the greater fraction.
Which is greater?
Which is greater?
Which is greater?
Which is greater?
Sort: Less Than or Greater Than 1/2
Sort each fraction.
Fraction of a Group (Stars)
Count the objects. Write how many there are.
Fraction of a Group (Hearts)
Count the hearts. Find half of each group.
Fraction of a Group (Flowers)
Count the flowers. Find one quarter of each group.
Fractions on a Number Line (Set C)
Circle the correct position.
Where is 3/4 on a 0–1 number line?
Where is 1/3 on a 0–1 number line?
Where is 2/5 on a 0–1 number line?
Where is 7/8 on a 0–1 number line?
Fractions on a Number Line (Set D)
Circle the correct position.
Where is 1/6 on a 0–1 number line?
Where is 4/5 on a 0–1 number line?
Where is 5/10 on a 0–1 number line?
Where is 9/10 on a 0–1 number line?
Match Fractions to Position (Set C)
Draw a line to match each fraction to where it sits on a number line.
Sort Fractions: Equal to 1/2 or Not?
Sort each fraction into the correct group.
Fractions: Closer to 0 or to 1?
Sort each fraction.
Fractions: Less than or Greater than 1/2?
Sort each fraction.
Fractions Adding to 1 (Set A)
These fractions add to 1 whole. Find the missing fraction part.
Fractions Adding to 1 (Set B)
Find the missing numerator. The denominators are the same.
Draw Fractions on a Number Line
Draw a number line from 0 to 1 and mark each fraction.
Mark 1/2, 1/4 and 3/4 on a number line:
Mark 1/3 and 2/3 on a number line:
Mark 1/5, 2/5, 3/5 and 4/5:
Fractions of Quantities
Find the fraction of each amount.
1/2 of 20 = ___
1/4 of 20 = ___
3/4 of 20 = ___
1/5 of 20 = ___
2/5 of 20 = ___
Fraction Sequences – Counting in Quarters
Continue counting in fractions.
Compare Fractions (Set C)
Circle the larger fraction.
Which is larger?
Which is larger?
Which is larger?
Which is larger?
Compare Fractions (Set D)
Circle the larger fraction.
Which is larger?
Which is larger?
Which is larger?
Which is larger?
Fractions of Our Class – Survey
Survey: What fraction of the class prefers each fruit? Record tallies.
| Item | Tally | Total |
|---|---|---|
Apple | ||
Banana | ||
Grapes | ||
Watermelon |
Order Fractions — Smallest to Largest (Set A)
Write these fractions in order from smallest to largest.
Order Fractions — Smallest to Largest (Set B)
Write these fractions in order.
Fractions Greater Than 1 (Set A)
Circle whether each fraction is less than, equal to, or greater than 1.
5/4
3/3
7/8
10/10
Fractions Greater Than 1 (Set B)
Circle the correct answer.
9/5
4/4
3/10
7/3
Match Fractions Between 0 and 2
Match each fraction to its approximate position on a 0–2 number line.
Draw Fractions on a Number Line (Set A)
Draw a number line from 0 to 1 and mark each fraction.
Mark 1/4, 1/2 and 3/4 on a number line from 0 to 1.
Mark 1/3 and 2/3 on a number line from 0 to 1.
Draw Fractions on a Number Line (Set B)
Draw a number line and mark each fraction.
Mark 1/5, 2/5, 3/5 and 4/5 on a number line from 0 to 1.
Mark 1/8, 3/8, 5/8 and 7/8 on a number line from 0 to 1.
Fractions Beyond 1
Draw a number line from 0 to 2 and mark these fractions.
Mark 1/2, 1, 3/2 and 2 on a number line.
Mark 1/4, 3/4, 5/4 and 7/4 on a number line from 0 to 2.
Name the Fraction (Set A)
A number line from 0 to 1 is divided into equal parts. Name the fraction at each arrow.
Divided into 4 equal parts. Arrow points to the 1st mark: ___
Divided into 4 equal parts. Arrow points to the 3rd mark: ___
Divided into 5 equal parts. Arrow points to the 2nd mark: ___
Divided into 10 equal parts. Arrow points to the 7th mark: ___
Name the Fraction (Set B)
Name the fraction at each position.
Divided into 3 equal parts. Arrow at the 1st mark: ___
Divided into 8 equal parts. Arrow at the 5th mark: ___
Divided into 6 equal parts. Arrow at the 4th mark: ___
Which Fraction Is Closer to 1?
Circle the fraction that is closer to 1 on the number line.
Which is closer to 1?
Which is closer to 1?
Which is closer to 1?
Which is closer to 1?
Order Mixed Numbers and Fractions
Put these in order from smallest to largest.
1/2, 1/4, 3/4, 2/5, 4/5 → smallest to largest
1/3, 2/3, 1/6, 5/6, 1/2 → smallest to largest
Fractions Between Fractions
Name a fraction that falls between the two given fractions.
Name a fraction between 1/4 and 1/2:
Name a fraction between 1/2 and 3/4:
Name a fraction between 0 and 1/4:
Challenge: Number Line Reasoning
Answer these questions about fractions on a number line.
Why is 1/2 always in the middle between 0 and 1?
A number line from 0 to 1 has 8 equal parts. What fraction is at the 6th mark? Simplify if possible.
Is 3/5 closer to 1/2 or to 1? How do you know?
Home Activity: Fraction Number Lines
Practise placing fractions on number lines at home!
- 1Draw a number line on the footpath with chalk. Mark fractions and jump to each one!
- 2Use a ruler as a number line. Where is 1/2 of 30 cm? Where is 1/4?
- 3Cut a piece of string into quarters. Lay it out and label each fraction.
- 4Walk halfway to the letterbox. Then walk 3/4 of the way. How far is each?
Fraction Sequences on a Number Line (Thirds)
Fill in the missing fractions counting in thirds.
Fraction Sequences on a Number Line (Fifths)
Fill in the missing fractions counting in fifths.
Identify the Fraction on the Number Line
A point is marked on a number line from 0 to 1. Circle the fraction shown.
Point is at 3 out of 4 equal parts:
Point is at 2 out of 6 equal parts:
Point is at 5 out of 10 equal parts:
Point is halfway between 0 and 1/2:
Plot Fractions on a Number Line
Describe where you would place each fraction on a 0–1 number line.
Where would you place 3/8? Describe its position relative to 1/4 and 1/2.
Where would you place 5/6? Is it closer to 1/2 or to 1?
Name a fraction between 2/5 and 3/5.
Match Fractions to Their Position (0 to 2)
Match each fraction to where it sits on a 0–2 number line.
Mixed Numbers on a Number Line
Convert each mixed number to a position on the number line.
Where is 1 1/2 on a 0–3 number line? Describe its position.
Where is 2 3/4 on a 0–3 number line?
Write a mixed number between 1 and 2.
Sort Fractions: Before or After 1/2?
Sort each fraction into the correct column.
Comparing Fractions (Set B)
Circle the larger fraction.
Which is larger: 3/4 or 2/3?
Which is larger: 5/6 or 7/8?
Which is larger: 2/5 or 3/7?
Which is larger: 1/3 or 2/6?
Fractions Between Two Numbers
Name fractions between the given values.
Write three fractions between 0 and 1/4.
Write three fractions between 3/4 and 1.
Write a fraction between 1/3 and 1/2. Explain how you found it.
Fraction Placement Tally
Students place fractions on a number line. Tally how many landed in each zone.
| Item | Tally | Total |
|---|---|---|
Between 0 and 1/4 | ||
Between 1/4 and 1/2 | ||
Between 1/2 and 3/4 | ||
Between 3/4 and 1 |
Fractions That Sum to 1
Find the missing numerator to make each pair sum to 1.
Fractions on a Number Line: Beyond 1
Count fractions beyond 1 whole.
Count by halves from 0 to 4: 0, 1/2, ___, ___, ___, ___, ___, 7/2, ___
Count by thirds from 0 to 2: 0, 1/3, 2/3, ___, 4/3, ___, 2, ___
What mixed number equals 7/4?
Fractions on a Number Line: Real Life
Solve these fraction number-line problems.
A race track is 1 km long. Mark positions 1/4 km, 1/2 km and 3/4 km on a number line.
A recipe uses 3/4 cup of sugar and 1/4 cup of butter. Together, how many cups is that?
Challenge: Fraction Number Line Puzzles
Solve these tricky fraction puzzles.
I am a fraction greater than 1/2 and less than 3/4. My denominator is 8. What am I?
I am the fraction exactly halfway between 1/4 and 3/4. What am I?
Write all fractions with a denominator of 6 that fall between 0 and 1.
Order Fractions on a Number Line
Place these fractions in order on a number line from 0 to 1.
3/8, 1/2, 1/4, 7/8, 5/8 — order from smallest to largest:
2/3, 1/6, 5/6, 1/3, 3/6 — order from smallest to largest:
1/5, 3/10, 7/10, 2/5, 9/10 — order from smallest to largest: