equivalent fractions
W O R K S H E E T S
SAMPLES FOR REVIEW ONLY
EQUIVALENT FRACTIONS Trish Price & Peter Price
Equivalent Fractions 3 Name __________________
Cut each Fractional Piece into Several Pieces A Equivalent fractions example:
2 3
Work out how many pieces each shape has to be cut into. Then draw lines to cut each fractional piece to make new fractions. Write the equivalent fraction that each shape now shows.
= 10 15 1 2
=
5
5 6
= 20
2 8
= 32
3 4
= 16
6 8
= 24
3 5
=
9
2 6
= 24
7 9
=
21
Write the equivalent fraction of each of these. You will need to work out how many times you will need to cut up these pieces. x5
1)
3 8
=
x4
4) 40
7 8
x5
2)
3)
1 4
4 6
=
=
=
3 4
=
8)
3 9
=
9)
3 10
7) 32
16
x4
5) 16
20
6)
3 10
7 8
=
=
50
72
=
18
30
These worksheets are part of the Classroom Professor Gadgets: Equivalent Fractions eBook.
Licensed for unlimited photocopying by original purchaser only.
http://www.classroomprofessor.com
Equivalent Fractions 8 Name __________________
Investigating a Third as Hundredths and a Decimal We can convert some common fractions into equivalent decimal fractions like this: 3 4
3x25 4x25
=
75 100
=
0.75
=
For some fractions, this method does not work. INVESTIGATION Look at the two circles:
1 of the pieces are shaded. 3 You cannot multiply 3 by anything to get to 100 so it is
Colour the second circle so that roughly 100 ÷ 3 = 33
1 3
necessary to round the numerator.
Complete: So
1 3
≈
33 100
2 x (100 ÷ 3) = 2 x 33
≈ 1 3
1 3
is less than a half so rounds down.
0.
= 66 23
2 is more than a half so rounds up. 3
N.B.
2 3
≈
≈
means “approximately equal to”
67 100
≈
0.
These worksheets are part of the Classroom Professor Gadgets: Equivalent Fractions eBook.
Licensed for unlimited photocopying by original purchaser only.
http://www.classroomprofessor.com
Equivalent Fractions 12 Name __________________
Equivalent Fractions - Grouping 2 Fractional Pieces Draw lines to group 2 fractional pieces together to make new fractions. (divide the numerator and denominator by 2)
Equivalent fractions example: ÷2 2 8
=
Write the equivalent fraction that each shape now shows.
1 4
÷2 ÷2 2 6
=
6 8
=
10 12
=
4 6
=
2 4
=
÷2 6 10
=
Write the equivalent fraction of each of these if 2 of each fractional pieces are grouped. ÷2 ÷2 1)
14 16
=
4)
12 18
8 12
=
3)
14 20
=
7)
10 16
=
8)
10 12
=
9)
4 20
=
÷2
÷2 2)
=
5)
6 18
=
6)
16 18
=
These worksheets are part of the Classroom Professor Gadgets: Equivalent Fractions eBook.
Licensed for unlimited photocopying by original purchaser only.
http://www.classroomprofessor.com
Equivalent Fractions 3 Name __________________
Cut each Fractional Piece into Several Pieces A Equivalent fractions example:
2 3
Work out how many pieces each shape has to be cut into. Then draw lines to cut each fractional piece to make new fractions. Write the equivalent fraction that each shape now shows.
= 10 15 1 2
5 = 10
5 6
= 20 24
2 8
8 = 32
3 4
12 = 16
6 8
18 = 24
3 5
=
9 15
2 6
8 = 24
7 9
21 = 27
Write the equivalent fraction of each of these. You will need to work out how many times you will need to cut up these pieces. x5
1)
3 8
=
x4
15
4)
40
7 8
x5
2)
3)
1 4
4 6
=
=
=
28
7)
32
3 4
=
3 9
=
12 16
x4
4
5)
16
20 30
6)
3 10
7 8
=
=
15
8)
50
63 72
9)
3 10
=
18 54
30 100
These worksheets are part of the Classroom Professor Gadgets: Equivalent Fractions eBook.
Licensed for unlimited photocopying by original purchaser only.
http://www.classroomprofessor.com
Equivalent Fractions 8 Name __________________
Investigating a Third as Hundredths and a Decimal We can convert some common fractions into equivalent decimal fractions like this: 3 4
3x25 4x25
=
75 100
=
0.75
=
For some fractions, this method does not work. INVESTIGATION Look at the two circles:
1 of the pieces are shaded. 3 You cannot multiply 3 by anything to get to 100 so it is
Colour the second circle so that roughly 100 ÷ 3 = 33
1 3
necessary to round the numerator.
Complete: So
1 3
≈
33 100
2 x (100 ÷ 3) = 2 x 33
≈ 1 3
1 3
is less than a half so rounds down.
0.
= 66 23
2 is more than a half so rounds up. 3
N.B.
2 3
≈
≈
means “approximately equal to”
67 100
≈
0.67
These worksheets are part of the Classroom Professor Gadgets: Equivalent Fractions eBook.
Licensed for unlimited photocopying by original purchaser only.
http://www.classroomprofessor.com
Equivalent Fractions 12 Name __________________
Equivalent Fractions - Grouping 2 Fractional Pieces Draw lines to group 2 fractional pieces together to make new fractions. (divide the numerator and denominator by 2)
Equivalent fractions example: ÷2 2 8
=
Write the equivalent fraction that each shape now shows.
1 4
÷2 ÷2 2 6
1 3
=
6 8
=
3 4
10 12
=
5 6
4 6
=
2 3
2 4
=
1 2
÷2 6 10
=
3 5
Write the equivalent fraction of each of these if 2 of each fractional pieces are grouped. ÷2 ÷2 1)
14 16
=
7
4)
8
12 18
3)
8 12
=
14 20
=
7)
9
10 16
=
10 12
=
4 20
=
5 8
÷2
÷2 2)
=
6
4
5)
6
7 10
6)
6 18
=
16 18
=
3
8)
9
8 9
9)
5 6
2 10
These worksheets are part of the Classroom Professor Gadgets: Equivalent Fractions eBook.
Licensed for unlimited photocopying by original purchaser only.
http://www.classroomprofessor.com
SAMPLES FOR REVIEW ONLY
EQUIVALENT FRACTIONS Trish Price & Peter Price
Equivalent Fractions 3 Name __________________
Cut each Fractional Piece into Several Pieces A Equivalent fractions example:
2 3
Work out how many pieces each shape has to be cut into. Then draw lines to cut each fractional piece to make new fractions. Write the equivalent fraction that each shape now shows.
= 10 15 1 2
=
5
5 6
= 20
2 8
= 32
3 4
= 16
6 8
= 24
3 5
=
9
2 6
= 24
7 9
=
21
Write the equivalent fraction of each of these. You will need to work out how many times you will need to cut up these pieces. x5
1)
3 8
=
x4
4) 40
7 8
x5
2)
3)
1 4
4 6
=
=
=
3 4
=
8)
3 9
=
9)
3 10
7) 32
16
x4
5) 16
20
6)
3 10
7 8
=
=
50
72
=
18
30
These worksheets are part of the Classroom Professor Gadgets: Equivalent Fractions eBook.
Licensed for unlimited photocopying by original purchaser only.
http://www.classroomprofessor.com
Equivalent Fractions 8 Name __________________
Investigating a Third as Hundredths and a Decimal We can convert some common fractions into equivalent decimal fractions like this: 3 4
3x25 4x25
=
75 100
=
0.75
=
For some fractions, this method does not work. INVESTIGATION Look at the two circles:
1 of the pieces are shaded. 3 You cannot multiply 3 by anything to get to 100 so it is
Colour the second circle so that roughly 100 ÷ 3 = 33
1 3
necessary to round the numerator.
Complete: So
1 3
≈
33 100
2 x (100 ÷ 3) = 2 x 33
≈ 1 3
1 3
is less than a half so rounds down.
0.
= 66 23
2 is more than a half so rounds up. 3
N.B.
2 3
≈
≈
means “approximately equal to”
67 100
≈
0.
These worksheets are part of the Classroom Professor Gadgets: Equivalent Fractions eBook.
Licensed for unlimited photocopying by original purchaser only.
http://www.classroomprofessor.com
Equivalent Fractions 12 Name __________________
Equivalent Fractions - Grouping 2 Fractional Pieces Draw lines to group 2 fractional pieces together to make new fractions. (divide the numerator and denominator by 2)
Equivalent fractions example: ÷2 2 8
=
Write the equivalent fraction that each shape now shows.
1 4
÷2 ÷2 2 6
=
6 8
=
10 12
=
4 6
=
2 4
=
÷2 6 10
=
Write the equivalent fraction of each of these if 2 of each fractional pieces are grouped. ÷2 ÷2 1)
14 16
=
4)
12 18
8 12
=
3)
14 20
=
7)
10 16
=
8)
10 12
=
9)
4 20
=
÷2
÷2 2)
=
5)
6 18
=
6)
16 18
=
These worksheets are part of the Classroom Professor Gadgets: Equivalent Fractions eBook.
Licensed for unlimited photocopying by original purchaser only.
http://www.classroomprofessor.com
Equivalent Fractions 3 Name __________________
Cut each Fractional Piece into Several Pieces A Equivalent fractions example:
2 3
Work out how many pieces each shape has to be cut into. Then draw lines to cut each fractional piece to make new fractions. Write the equivalent fraction that each shape now shows.
= 10 15 1 2
5 = 10
5 6
= 20 24
2 8
8 = 32
3 4
12 = 16
6 8
18 = 24
3 5
=
9 15
2 6
8 = 24
7 9
21 = 27
Write the equivalent fraction of each of these. You will need to work out how many times you will need to cut up these pieces. x5
1)
3 8
=
x4
15
4)
40
7 8
x5
2)
3)
1 4
4 6
=
=
=
28
7)
32
3 4
=
3 9
=
12 16
x4
4
5)
16
20 30
6)
3 10
7 8
=
=
15
8)
50
63 72
9)
3 10
=
18 54
30 100
These worksheets are part of the Classroom Professor Gadgets: Equivalent Fractions eBook.
Licensed for unlimited photocopying by original purchaser only.
http://www.classroomprofessor.com
Equivalent Fractions 8 Name __________________
Investigating a Third as Hundredths and a Decimal We can convert some common fractions into equivalent decimal fractions like this: 3 4
3x25 4x25
=
75 100
=
0.75
=
For some fractions, this method does not work. INVESTIGATION Look at the two circles:
1 of the pieces are shaded. 3 You cannot multiply 3 by anything to get to 100 so it is
Colour the second circle so that roughly 100 ÷ 3 = 33
1 3
necessary to round the numerator.
Complete: So
1 3
≈
33 100
2 x (100 ÷ 3) = 2 x 33
≈ 1 3
1 3
is less than a half so rounds down.
0.
= 66 23
2 is more than a half so rounds up. 3
N.B.
2 3
≈
≈
means “approximately equal to”
67 100
≈
0.67
These worksheets are part of the Classroom Professor Gadgets: Equivalent Fractions eBook.
Licensed for unlimited photocopying by original purchaser only.
http://www.classroomprofessor.com
Equivalent Fractions 12 Name __________________
Equivalent Fractions - Grouping 2 Fractional Pieces Draw lines to group 2 fractional pieces together to make new fractions. (divide the numerator and denominator by 2)
Equivalent fractions example: ÷2 2 8
=
Write the equivalent fraction that each shape now shows.
1 4
÷2 ÷2 2 6
1 3
=
6 8
=
3 4
10 12
=
5 6
4 6
=
2 3
2 4
=
1 2
÷2 6 10
=
3 5
Write the equivalent fraction of each of these if 2 of each fractional pieces are grouped. ÷2 ÷2 1)
14 16
=
7
4)
8
12 18
3)
8 12
=
14 20
=
7)
9
10 16
=
10 12
=
4 20
=
5 8
÷2
÷2 2)
=
6
4
5)
6
7 10
6)
6 18
=
16 18
=
3
8)
9
8 9
9)
5 6
2 10
These worksheets are part of the Classroom Professor Gadgets: Equivalent Fractions eBook.
Licensed for unlimited photocopying by original purchaser only.
http://www.classroomprofessor.com
