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Number

Unit Fractions & Their Multiples

1

What Is a Unit Fraction?

A unit fraction has 1 on top. Circle the unit fractions.

Which is a unit fraction?

1/2
2/3
3/4

Which is a unit fraction?

2/5
1/4
3/8

Which is a unit fraction?

4/5
3/3
1/3

Which is a unit fraction?

1/8
5/8
7/8
2

More Unit Fractions

Circle the unit fraction.

Which is a unit fraction?

1/6
3/6
5/6

Which is a unit fraction?

4/10
1/10
7/10

Which is a unit fraction?

1/5
2/5
4/5
3

Match Fractions to Meanings

Draw a line to match.

1/2
1/3
1/4
1/5
one of five equal parts
one of two equal parts
one of four equal parts
one of three equal parts
4

Match More Fractions

Draw a line to match.

1/6
1/8
1/10
1/100
one of ten equal parts
one of six equal parts
one of a hundred equal parts
one of eight equal parts
5

How Many Equal Parts?

Circle the correct answer.

A pizza cut into 3 equal parts — each part is...

1/2
1/3
1/4

A ribbon cut into 5 equal parts — each part is...

1/3
1/4
1/5

A cake cut into 8 equal parts — each part is...

1/4
1/6
1/8

A bar split into 4 equal parts — each part is...

1/2
1/3
1/4
6

Bigger or Smaller Unit Fraction?

Circle the bigger fraction.

Which is bigger?

1/2
1/4

Which is bigger?

1/3
1/6

Which is bigger?

1/5
1/10

Which is bigger?

1/4
1/8
7

Sort: Unit Fraction or Not?

Sort each fraction.

1/3
2/5
1/8
3/4
1/2
5/6
Unit fraction
Not a unit fraction
8

Draw the Fraction

Divide each shape and shade the correct fraction.

Draw a circle. Divide it into 2 equal parts. Shade 1/2.

Draw here

Draw a rectangle. Divide it into 4 equal parts. Shade 1/4.

Draw here

Draw a rectangle. Divide it into 3 equal parts. Shade 1/3.

Draw here
9

Fractions of a Whole

How many unit fractions make a whole?

2
1
?
3
1
?
4
1
?
5
1
?
8
1
?
10
1
?
10

Match Fraction Words to Symbols

Draw a line to match.

two quarters
three fifths
two thirds
five eighths
2/3
5/8
2/4
3/5
11

More Fraction Matching

Draw a line to match.

three quarters
four fifths
two eighths
six tenths
2/8
6/10
3/4
4/5
12

How Much Is Shaded?

Circle the fraction that shows how much is shaded.

Circle split into 4 parts, 3 shaded

1/4
2/4
3/4

Rectangle split into 3 parts, 2 shaded

1/3
2/3
3/3

Bar split into 5 parts, 4 shaded

2/5
3/5
4/5

Square split into 8 parts, 5 shaded

3/8
5/8
7/8
13

More Shaded Fractions

Circle the correct fraction.

Bar split into 6 parts, 2 shaded

1/6
2/6
4/6

Circle split into 4 parts, 1 shaded

1/4
2/4
3/4

Rectangle split into 10 parts, 7 shaded

3/10
7/10
10/10
14

Equivalent or Not?

Circle whether these fractions are equal.

Is 2/4 the same as 1/2?

Yes
No

Is 3/6 the same as 1/2?

Yes
No

Is 2/3 the same as 3/4?

Yes
No

Is 4/8 the same as 1/2?

Yes
No
15

Parts of a Fraction

How many parts shaded and unshaded?

4
3
?
5
?
3
8
5
?
6
?
2
10
7
?
3
?
1
16

Write the Fraction

Write the fraction shown.

3 out of 4 parts shaded = ___

5 out of 8 parts shaded = ___

2 out of 3 parts shaded = ___

7 out of 10 parts shaded = ___

17

Sort: More or Less Than Half?

Sort each fraction.

1/4
3/4
2/4
1/3
2/3
5/8
Less than 1/2
Equal to 1/2
More than 1/2
18

Shade the Fractions

Shade the correct amount.

Shade 3/4 of the circle (4 equal parts)

Draw here

Shade 2/3 of the rectangle (3 equal parts)

Draw here

Shade 5/8 of the bar (8 equal parts)

Draw here

Shade 1/5 of the strip (5 equal parts)

Draw here
19

Fraction Word Problems

Solve each problem.

A chocolate bar has 8 pieces. You eat 3/8. How many pieces did you eat?

There are 12 eggs. 1/4 are broken. How many are broken?

A race is 10 km. You have run 3/5 of it. How many km have you run?

20

More Fraction Word Problems

Solve each problem.

A cake is cut into 6 pieces. Tom ate 2/6. How many pieces did Tom eat?

A class has 20 students. 1/4 have brown hair. How many?

A pizza has 8 slices. 5/8 have been eaten. How many are left?

21

Order Fractions

Circle the largest fraction.

Which is largest?

1/4
1/2
1/8

Which is largest?

2/5
3/5
1/5

Which is smallest?

3/4
1/4
2/4

Which is smallest?

5/8
3/8
7/8
22

Fraction Number Line

Place these fractions on the number line.

Mark 1/2 on a line from 0 to 1

Draw here

Mark 1/4 and 3/4 on a line from 0 to 1

Draw here
23

Create Your Own Fraction Problems

Write your own fraction problems.

I have ___ objects. ___ of them are ___. That is the fraction ___.

Draw a shape. Divide it into ___ equal parts. Shade ___ of them.

Draw here
24

Home Activity: Fractions at Home

Find fractions everywhere!

  • 1Cut an apple into 4 equal pieces. Each piece is 1/4. Eat 3/4 — how many pieces?
  • 2Pour water into a glass until it is about 1/2 full. Then 3/4 full.
  • 3Draw a rectangle and divide it into 5 equal parts. Colour in 2/5.
  • 4Share 12 crackers equally among 3 people. Each person gets 1/3. How many each?
25

Unit Fraction Revision — Set A

Circle the unit fraction in each group.

Circle the unit fraction

1/5
3/5
4/5

Circle the unit fraction

7/10
1/10
9/10

Circle the unit fraction

5/6
2/6
1/6

Circle the unit fraction

3/8
1/8
7/8
26

Unit Fraction Revision — Set B

Circle the largest unit fraction.

1/3 or 1/5?

1/3
1/5

1/6 or 1/4?

1/6
1/4

1/10 or 1/8?

1/10
1/8

1/2 or 1/3?

1/2
1/3
27

Match Fractions to Number Lines

Match each fraction to where it sits on a 0–1 number line.

1/4
3/4
1/2
1/8
Close to the right end
Exactly in the middle
Near the left
One quarter of the way
28

Match Fractions to Shaded Amounts

Match each description to the fraction.

5 out of 6 parts shaded
3 out of 8 parts shaded
1 out of 3 parts shaded
7 out of 10 parts shaded
7/10
1/3
5/6
3/8
29

Match Non-Unit Fractions to Words

Match each fraction to its word name.

3/4
5/8
2/3
7/10
two thirds
five eighths
seven tenths
three quarters
30

Fractions Add to 1 — Set A

What fraction completes the whole?

4
3
?
8
5
?
5
2
?
6
4
?
10
7
?
3
2
?
31

Fractions Add to 1 — Set B

What fraction completes the whole?

12
7
?
10
3
?
8
1
?
6
5
?
4
1
?
5
4
?
32

Compare Fractions — Same Numerator

Circle the larger fraction.

2/3 or 2/5?

2/3
2/5

3/4 or 3/8?

3/4
3/8

4/5 or 4/10?

4/5
4/10

5/6 or 5/12?

5/6
5/12
33

Compare Fractions — Same Denominator

Circle the larger fraction.

3/8 or 7/8?

3/8
7/8

5/10 or 3/10?

5/10
3/10

2/6 or 5/6?

2/6
5/6

1/4 or 3/4?

1/4
3/4
34

Fractions of a Set — Set A

Find the fraction of each set.

1/4 of 16 = ___

1/3 of 12 = ___

1/5 of 20 = ___

1/8 of 24 = ___

35

Fractions of a Set — Set B

Find the fraction of each set.

2/4 of 12 = ___

3/5 of 20 = ___

3/4 of 16 = ___

2/3 of 15 = ___

36

Fraction Word Problems — Set C

Solve each problem.

A bag has 20 marbles. 1/4 are blue. How many blue? ___

A pizza has 6 slices. You eat 2/3. How many did you eat? ___

A class has 24 students. 1/3 are absent. How many absent? ___

37

Fraction Word Problems — Set D

Solve.

A chocolate bar has 10 pieces. You eat 3/5. How many pieces? ___

A car has 4 wheels. What fraction have hubcaps if 3 do? ___

A jar has 12 red and blue marbles equally. What fraction are red? ___

38

Equivalent Fractions — Introduction

Find equivalent fractions by doubling numerator and denominator.

1/2 = ___/4

1/3 = ___/6

1/4 = ___/8

2/3 = ___/6

39

Order Fractions on a Number Line — Set A

Write these fractions in order from smallest to largest.

1/4, 3/4, 1/2, 0 Order: ___, ___, ___, ___

1/3, 2/3, 1/6, 5/6 Order: ___, ___, ___, ___

40

Order Fractions on a Number Line — Set B

Order from smallest to largest.

1/8, 1/4, 1/2, 1/3 Order: ___, ___, ___, ___

3/8, 5/8, 1/8, 7/8 Order: ___, ___, ___, ___

41

Sort: Greater Than Half or Less Than Half?

Sort each fraction.

1/3
3/4
2/4
3/8
5/8
3/6
Less than 1/2
Equal to 1/2
Greater than 1/2
42

Sort: Unit or Non-Unit Fraction?

Sort each fraction.

1/5
3/5
1/12
7/8
1/100
9/10
Unit fraction (1 on top)
Non-unit fraction
43

Fraction Choices Tally

Count the tallies.

ItemTallyTotal
1/2
1/4
3/4
1/3
44

Pizza Slice Graph

How many slices of each fraction were eaten?

1/8 slice
2/8 slices
3/8 slices
4/8 slices
1

Which amount was eaten most?

2

How many people ate 1/8 and 2/8 combined?

3

What fraction of the whole pizza do 4/8 slices represent?

45

Fraction Investigation — Halves

Explore halves.

Write 5 fractions that are equivalent to 1/2: ___, ___, ___, ___, ___

How do you know if a fraction is equivalent to 1/2? ___

Is 5/10 the same as 1/2? How do you know? ___

46

Fraction Investigation — Quarters

Explore quarters.

1/4 of 8 = ___

2/4 of 8 = ___

3/4 of 8 = ___

4/4 of 8 = ___ What is 4/4? ___

47

Explain Fractions

Write your explanation.

Explain in your own words what a fraction is: ___

Why is 1/3 bigger than 1/6, even though 6 > 3? ___

Give an example of when you use fractions in daily life: ___

48

Fraction Puzzle

Solve each fraction puzzle.

I am a unit fraction. My denominator is 5. What fraction am I? ___

I am a fraction greater than 1/2 but less than 3/4. Give three possible fractions: ___

What fraction of the letters in the word FRACTION are vowels? ___

49

Count Fractions of a Set

Count the shaded objects. Write as a fraction of the total.

?
?
?
?
50

Fraction Number Line

Fill in the missing fractions on the number line (eighths).

?
51

Fractions of Ten Frames

What fraction of each ten frame is filled?

?
?
?
?
?
52

Fraction of a Group — Set A

Circle the answer.

1/3 of 9 = ?

2
3
4

1/4 of 20 = ?

4
5
6

1/5 of 15 = ?

2
3
4

1/2 of 18 = ?

7
8
9
53

Fraction of a Group — Set B

Circle the answer.

2/3 of 12 = ?

6
7
8

3/4 of 16 = ?

10
12
14

2/5 of 20 = ?

6
8
10

3/8 of 24 = ?

7
8
9
54

Fractions Greater Than 1

Explore improper fractions and mixed numbers.

5/4 means ___ whole and ___ quarter.

Draw 5/4 using shapes:

Draw here

7/3 means ___ whole(s) and ___ third(s).

55

Fractions of Lengths

Find fractions of measurements.

1/2 of 20 cm = ___ cm

1/4 of 1 metre = ___ cm

3/4 of 1 metre = ___ cm

1/3 of 30 cm = ___ cm

56

Match Fractions to Decimals

Match each fraction to its decimal (for halves, quarters and tenths).

1/2
1/4
3/4
1/10
0.75
0.5
0.25
0.1
57

Fraction Vocabulary

Write the meaning of each fraction term.

Numerator: ___

Denominator: ___

Unit fraction: ___

Equivalent fractions: ___

58

Home Activity: Fractions in Cooking

Use fractions in cooking!

  • 1Help make a recipe. Identify when fractions are used (e.g. 1/2 cup).
  • 2Cut a sandwich into quarters. Eat 3/4. What fraction is left?
  • 3Find 5 fractions on food packaging in your kitchen.
  • 4Share 8 crackers: give 1/4 to yourself, 1/4 to a sibling. What fraction is left?
59

Fraction Parts

Fill in the missing number of parts.

2
1
?
4
?
1
3
1
?
8
?
1
5
1
?
6
?
1
60

Fractions of 12

Fill in the answer.

12
2
?
12
?
3
12
4
?
12
?
6
12
1
?
12
?
12
61

Count by Quarters

Fill in the missing fractions.

1
2
4
?
4
6
7
?
?
62

Count by Thirds

Fill in the missing fractions (as multiples).

1
2
4
?
3
5
6
?
?
63

Identify the Unit Fraction

Circle the unit fraction.

Circle the unit fraction.

1/5
2/5
3/5

Circle the unit fraction.

3/4
1/4
2/4

Circle the unit fraction.

5/6
4/6
1/6

Circle the unit fraction.

1/7
3/7
6/7
64

Fraction of a Set — Halves

Circle the correct answer.

1/2 of 10 = ?

2
5
8

1/2 of 16 = ?

4
8
10

1/2 of 22 = ?

9
11
13

1/2 of 30 = ?

10
15
20
65

Fraction of a Set — Quarters

Circle the correct answer.

1/4 of 12 = ?

2
3
4

1/4 of 20 = ?

4
5
6

1/4 of 24 = ?

4
6
8

1/4 of 40 = ?

8
10
12
66

Fraction of a Set — Thirds

Circle the correct answer.

1/3 of 9 = ?

2
3
4

1/3 of 15 = ?

3
5
7

1/3 of 21 = ?

5
7
9

1/3 of 30 = ?

5
8
10
67

Match Fractions to Shaded Parts

Match each fraction to the description.

1/2
1/3
1/4
1/5
1 part shaded out of 5
1 part shaded out of 3
1 part shaded out of 2
1 part shaded out of 4
68

Match Fractions to Their Multiple

Match.

2 × (1/4)
3 × (1/4)
3 × (1/3)
2 × (1/2)
1 whole
3/4
2/4 or 1/2
1 whole
69

Sort: Unit Fraction or Not?

Sort each fraction.

1/3
2/3
1/7
3/5
1/10
4/4
Unit fraction (numerator = 1)
Not a unit fraction
70

Sort: Bigger or Smaller Than 1/2?

Sort each fraction.

1/3
2/3
3/4
1/4
1/5
3/5
Bigger than 1/2
Smaller than 1/2
71

Fraction of Objects — Halves

How many is 1/2 of each set?

?
?
?
?
72

Fraction of Objects — Quarters

How many is 1/4 of each set?

?
?
?
?
73

Fractions on a Number Line

Write the fraction that belongs at each position.

On a 0-to-1 number line, what is halfway? ___

On a 0-to-1 number line, what is one-quarter of the way? ___

On a 0-to-1 number line, what is three-quarters of the way? ___

On a 0-to-2 number line, what is halfway? ___

74

Fractions of Amounts

Solve each fraction problem.

1/2 of 24 = ___

1/3 of 18 = ___

1/4 of 32 = ___

3/4 of 20 = ___

75

Equivalent Fractions Investigation

Investigate which fractions are equal.

1/2 = 2/4 because: ___

1/2 = _/6 (what is the missing numerator?)

2/4 = _/8 (what is the missing numerator?)

Are 1/3 and 2/6 equal? Explain: ___

76

Fraction Word Problems

Solve each problem.

Mia ate 3/8 of a pizza. How much is left? ___

Tom ran 1/4 of a 20 km race. How far did he run? ___

There are 30 students. 1/3 are girls. How many boys? ___

77

Order Fractions — Smallest to Largest

Order each set of fractions.

1/2, 1/4, 3/4 → ___

1/3, 2/3, 1/6 → ___

3/8, 1/8, 5/8, 7/8 → ___

78

Comparing Fractions

Write >, < or = between each pair.

1/2 ___ 1/3

3/4 ___ 2/4

1/5 ___ 1/4

2/3 ___ 4/6

79

Fraction Preferences

Record which fraction students found easiest.

ItemTallyTotal
Halves
Thirds
Quarters
Eighths
80

Fractions in My Day

How much of the day did a student spend on each activity?

Sleep (1/3)
School (1/3)
Play (1/6)
Other (1/6)
1

What fraction of the day is school?

2

What fraction is sleep and school combined?

3

How many hours is 1/6 of a day?

81

Create a Fraction Problem

Write and solve your own fraction word problem.

My problem: ___ Fraction used: ___ Answer: ___

My problem was easy/medium/hard because: ___

82

Home Activity: Fraction Hunt

Find fractions at home and in nature!

  • 1Divide a piece of paper into equal parts. Label each part as a fraction.
  • 2Share food equally at dinner. What fraction does each person get?
  • 3Look at a clock face. What fraction of the clock is 15 minutes? 30 minutes?
  • 4Find 3 examples of fractions on food packaging. Write them down.
83

Fraction Greater or Less Than One Half?

Circle whether each fraction is greater than, equal to, or less than one half.

1/3

Less than 1/2
Equal to 1/2
Greater than 1/2

3/4

Less than 1/2
Equal to 1/2
Greater than 1/2

2/4

Less than 1/2
Equal to 1/2
Greater than 1/2

1/6

Less than 1/2
Equal to 1/2
Greater than 1/2
84

Fraction Number Line

Fill in the missing fractions on the number line.

1
?
?
?
?
1
?
?
?
1
?
?
85

Fractions That Make a Whole

Find the missing value to make one whole. Write fractions as decimals (e.g., 1/2 = 0.5).

1
0.5
?
1
0.25
?
1
?
0.75
1
0.4
?
86

Match Fraction to Diagram

Match each fraction word to its correct description.

One quarter of 12
One third of 9
One half of 14
One fifth of 10
7
2
4
3
87

Fraction of a Collection

Solve fraction of collection problems.

One half of 18 = ___ How did you find it?

One third of 15 = ___ How did you find it?

One quarter of 20 = ___ How did you find it?

Which is greater: 1/2 of 16 or 1/3 of 24? Explain:

88

Equal Parts Investigation

Explore what makes fractions equal.

Draw a shape and divide it into 4 equal parts. Shade 3/4.

Draw here

Can 3/4 and 6/8 be equal? Explain:

89

Sort: Unit Fractions Smallest to Largest

Write these fractions in order from smallest to largest.

1/2
1/8
1/3
1/10
1/4
1/6
Smallest
Middle
Largest
90

Count Objects and Write as Fraction

Count coloured objects and write the fraction of the total.

?
?
?
?
91

Fraction Pizza Slices Eaten

This graph shows pizza slices eaten by each student.

Ava
Ben
Clem
Dee
1

If the pizza has 8 slices, what fraction did Ava eat?

2

Who ate the smallest fraction?

3

Together, Ava and Ben ate what fraction of 8 slices?

92

Home Activity: Fraction Cooking

Use fractions in your next meal preparation!

  • 1Help measure 1/2 cup, 1/4 cup and 1/3 cup using measuring cups.
  • 2Cut a piece of fruit into equal halves, quarters or thirds.
  • 3Share a packet of biscuits equally. What fraction does each person get?
  • 4Find a fraction on a food label (e.g. 1/4 of daily intake). Explain what it means.
93

Equivalent Fractions

Circle the fraction that is equivalent.

1/2 is equivalent to...

2/6
2/4
3/8

1/4 is equivalent to...

2/6
3/8
2/8

2/3 is equivalent to...

4/6
4/8
3/6

3/4 is equivalent to...

6/8
4/8
3/6
94

Counting in Fractions

Fill in the missing fractions.

1
2
4
?
1
2
3
?
2
4
8
?
95

Fractions of Collections Extended

Find the fraction of each collection.

24
?
6
30
?
10
18
?
6
40
?
8
35
?
7
96

Match: Fraction Problem to Answer

Match each fraction word problem to its answer.

One third of 21
One quarter of 28
One fifth of 30
One sixth of 18
3
7
6
7
97

Fractions on a Number Line

Place fractions on a number line from 0 to 1.

Draw a number line from 0 to 1. Mark 1/2, 1/4, 3/4 and 1/3:

Draw here

Which is greater: 1/3 or 1/4? ___ How can you tell from the number line?

98

Sort: More or Less Than One Half?

Sort each fraction into more than, equal to, or less than 1/2.

1/3
3/4
2/4
1/5
5/8
4/8
Less than 1/2
Equal to 1/2
More than 1/2
99

Fraction Problems Correct

Record how many fraction problems each student got right.

ItemTallyTotal
All 5 correct
4 correct
3 correct
2 or fewer
100

Fraction Stories

Write fraction stories and solve them.

Write a story using 1/3: ___ Number sentence: ___ Answer: ___

Write a story using 3/4: ___ Number sentence: ___ Answer: ___

101

Home Activity: Fraction Wall

Make a fraction wall at home!

  • 1Cut strips of paper of equal length. Fold one in half, one in quarters, one in thirds, one in sixths.
  • 2Label each part with its fraction.
  • 3Which is larger: 1/3 or 1/4? Use your fraction wall to check.
  • 4Can you find two fractions on your wall that are equivalent?

What to do next

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Make estimates and determine reasonableness of financial calculations