Ordering fractions

The Maths Habit

Two bars of chocolate are the same size. Amy takes the 3 shaded pieces. Ben takes the 5 shaded pieces. Ben has more pieces. Does Ben have more chocolate?

Amy6 small pieces
Ben5 small pieces

No. Amy has more. Each of her pieces is 2 small pieces.

What fraction of each bar is shaded?

25
34
56

Numerator
The top number of a fraction. It tells you how many parts you have.
35
Denominator
The bottom number of a fraction. It tells you how many equal parts the whole is cut into.
35
Equivalent fractions
Fractions that are the same amount.
1224

top
top
same size parts ✓
smallestlargest
  1. 1Make the bottoms the same.Check the parts are the same size.
  2. 2Count the tops.Count the shaded parts. More parts is bigger.
  3. 3Write them in order.Write the fractions from the question.

Write in order, smallest first.35,  15,  45

1Make the bottoms the same.
2Count the tops.
35same ✓
15
45
3Write them in order.
15,35,45

Write in order, smallest first.58,  38,  78

1Make the bottoms the same.
2Count the tops.
58same ✓
38
78
3Write them in order.
38,58,78

Write in order, smallest first.35,  15,  45

1Make the bottoms the same.
2Count the tops.
35same ✓
15
45
3Write them in order.
15,35,45
1Make the bottoms the same.2Count the tops.3Write them in order.

Write in order, smallest first.47,  67,  27

1Make the bottoms the same.
2Count the tops.
47same ✓
67
27
3Write them in order.
27,47,67

Write in order, smallest first.35,  15,  45

1Make the bottoms the same.
2Count the tops.
35same ✓
15
45
3Write them in order.
15,35,45
1Make the bottoms the same.2Count the tops.3Write them in order.

Write in order, smallest first.59,  29,  79

1Make the bottoms the same.
2Count the tops.
59same ✓
29
79
3Write them in order.
29,59,79

Write in order, smallest first.35,  15,  45

1Make the bottoms the same.
2Count the tops.
35same ✓
15
45
3Write them in order.
15,35,45
1Make the bottoms the same.2Count the tops.3Write them in order.

Write in order, largest first.710,  310,  910

1Make the bottoms the same.
2Count the tops.
710same ✓
310
910
3Write them in order.
910,710,310

1Make the bottoms the same.2Count the tops.3Write them in order.

1Write in order, smallest first.57,  17,  37

57same ✓
17
37
17,37,57

2Write in order, smallest first.49,  89,  19

49same ✓
89
19
19,49,89

3Write in order, largest first.38,  78,  18

38same ✓
78
18
78,38,18

Every part is cut in two. What fraction is shaded now?

24
46
610

top
top
cut again: same size parts ✓
smallestlargest
  1. 1Make the bottoms the same.Cut the bigger parts again, so all the parts are the same size.
  2. 2Count the tops.Count the shaded parts. More parts is bigger.
  3. 3Write them in order.Write the fractions from the question.

Write in order, smallest first.12,  34,  38

1Make the bottoms the same.
2Count the tops.
12=48
34=68
38=38
3Write them in order.
38,12,34

Write in order, smallest first.710,  25,  12

1Make the bottoms the same.
2Count the tops.
710=710
25=410
12=510
3Write them in order.
25,12,710

Write in order, smallest first.12,  34,  38

1Make the bottoms the same.
2Count the tops.
12=48
34=68
38=38
3Write them in order.
38,12,34
1Make the bottoms the same.2Count the tops.3Write them in order.

Write in order, smallest first.23,  12,  16

1Make the bottoms the same.
2Count the tops.
23=46
12=36
16=16
3Write them in order.
16,12,23

Write in order, smallest first.12,  34,  38

1Make the bottoms the same.
2Count the tops.
12=48
34=68
38=38
3Write them in order.
38,12,34
1Make the bottoms the same.2Count the tops.3Write them in order.

Write in order, smallest first.12,  710,  15

1Make the bottoms the same.
2Count the tops.
12=510
710=710
15=210
3Write them in order.
15,12,710

Write in order, smallest first.12,  34,  38

1Make the bottoms the same.
2Count the tops.
12=48
34=68
38=38
3Write them in order.
38,12,34
1Make the bottoms the same.2Count the tops.3Write them in order.

Write in order, smallest first.34,  58,  78

1Make the bottoms the same.
2Count the tops.
34=68
58=58
78=78
3Write them in order.
58,34,78

Ordering fractions worksheet, page 1

Ordering fractions worksheet, page 2

Answer sheet

Is it right?
Thumbs up: right. Thumbs down: wrong.

  1. 35 is bigger than 15

    Right

  2. 14 is bigger than 12

    Wrong: make the bottoms the same

  3. 58 is bigger than 34

    Wrong: make the bottoms the same

  4. 710 is bigger than 35

    Right

  5. 13 is bigger than 16

    Right

  1. Which is bigger, 23 or 34? Use a bottom of 12.

    34

  2. Write in order, smallest first: 0.7, 35, 12

    12, 35, 0.7

  3. Write a fraction that is bigger than 13 and smaller than 12.

    For example 512

  1. Write these in order, smallest first.

    110, 12, 35
    1Make thebottomsthe same.2Countthe tops.35=1012=10110=103Write themin order.,,

  2. Write these in order, smallest first.

    12, 712, 34
    1Make thebottomsthe same.2Countthe tops.712=12=34=3Write themin order.,,

  3. Write in order, smallest first: 310, 15, 12

    15, 310, 12
Exit tickets to print