Comparing Fractions

Teacher Key
Fractions
Comparing Fractions
Circle the greatest fraction.
A.
3
5
1
5
5
5
4
5
2
5
B.
3
7
3
9
3
5
3
7
3
10
C.
1
2
3
4
1
3
5
5
2
3
D.
6
12
6
7
6
9
6
11
6
15
Cross multiply to compare the fractions. Use <, >, or =.
E.
2
3
>
10
_____
F.
5
7
>
50
_____
G.
3
9
=
9
_____
3
5
4
9
9
_____
8
_____
6
10
1
4
42
_____
5
_____
1
3
15
32
9
_____
45
_____
<
1
2
9
_____
<
11
12
5
11
4
10
20
_____
>
110
_____
2
3
64
_____
=
20
_____
2
5
8
_____
>
2
5
9
10
108
_____
>
50
_____
2
10
22
_____
Use decimal equivalents to compare the fractions. Use <, >, or =.
H.
1
2
>
0.5
_____
I.
6
10
0.6
_____
=
1
4
4
5
0.25
_____
0.8
_____
3
5
15
20
0.6
_____
0.75
_____
© 2003 CompassLearning, Inc.
>
3
4
0.75
_____
=
3
4
0.75
_____
3
10
>
0.3
_____
2
10
0.2
_____
25
100
0.25
_____
<
1
4
0.25
_____
Activity 56288
Teacher Key
Fractions
Comparing Fractions
Order the fractions from least to greatest.
J.
2 1 3 4
, , ,
3 2 4 5
2 4 1 4
, , ,
K.
9 7 3 5
1 2 3 4
, , ,
2 3 4 5
2 1 4 4
, , ,
9 3 7 5
5 1 3 5
, , ,
10 4 4 7
3 4 3 3
, , ,
10 9 6 7
1 5 5 3
, , ,
4 10 7 4
3 3 4 3
, , ,
10 7 9 6
Solve.
L. Janet is mixing a recipe for cookies that requires
2
3
cup of sugar and
cup of flour.
3
5
Which ingredient does Janet need more of?
sugar
M. A mystery fraction has 3 as the numerator and is less than
Name the mystery fraction.
1
2
but greater than .
2
7
3
7
N. Paul needs the largest piece of wood for a project he is making. His father has a piece
9
7
foot and a piece of oak that measures
foot. Which piece
of pine that measures
10
8
of wood should Paul select?
pine
O. A scientist is measuring the length of three leaves from rare plants found in the Amazon.
1
2
2
Leaf A measures
inch, leaf B measures
inch, and leaf C measures
inch. Order
3
8
10
the leaves from shortest to longest.
leaf B, leaf C, leaf A
© 2003 CompassLearning, Inc.
Activity 56288
Teacher Key
Fractions
Connections
Think About It
Suppose two fractions have the same numerator but different denominators. Explain why
the greater fraction has the lesser denominator.
SAMPLE
RESPONSE: The greater fraction has the lesser denominator because the
________________________________________________________________________
denominator
represents the number of parts in the whole. As the denominator
________________________________________________________________________
increases,
the size of the parts decreases. So, a larger denominator represents
________________________________________________________________________
smaller
parts while a smaller denominator represents larger parts.
________________________________________________________________________
Example:
This square shows halves while this one shows fifths.
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
________________________________________________________________________
A-Maze-ing
Help Fido find his bone by tracing a path from the start to the finish. The path must connect
the fractions in order from least to greatest. The path may not go diagonally.
Start
1
16
1
20
2
11
3
5
5
12
7
14
1
8
2
9
1
5
2
5
5
16
1
2
1
22
1
4
1
7
1
2
3
5
2
3
2
8
5
6
3
10
2
7
2
5
1
10
3
7
1
16
1
4
2
3
3
4
4
5
© 2003 CompassLearning, Inc.
Finish
Activity 56288