The
1 is the
numerator.
|t’s the number
being divided.
1
_
2
The 2 is the
denominator.
|t’s the number we
are dividing by.
Since a fraction is a number, we can put it on the number line.
1
To locate 2 on the number line, we divide the number line
between 0 and 1 into two pieces of equal length.
1
Each piece has a length of 2 .
1
The first piece begins at 0 and ends at 2 .
0
Fract ions a re Num b e rs!
A fraction is a number.
Fractions are also another way to write division.
1
For example, we can write 1÷2 as 2 .
FRACTIONS
Excerpt from Beast Academy Guide 3D. (C) 2013 www.BeastAcademy.com
1
1
2
PRACTICE
Label the number marked with an arrow on each number line below.
2.
1.
0
1
3.
0
1
0
1
4.
0
Beast Academy Practice 3D
1
7
Excerpt from Beast Academy Guide 3D. (C) 2013 www.BeastAcademy.com
F RACTIONS
Com p a ring Unit Fra ctions
A unit fraction
is a fraction that
has a numerator
of 1.
1
1
1
To locate 7 , we divide the number line between 0 and 1 into
1
seven equal pieces. The first piece begins at 0 and ends at 7 .
1
5
0
1
8
1
The
more equal
pieces you divide
something into,
the smaller each
piece must be!
1
1
5. __________
Which is greater, 2 or 3 ?
1
1
1
6. __________
Which is greater, 6 or 9 ?
1
1
1
7. __________
Which is greater, 11 or 10 ?
1
1
1
8. __________
Which is greater, 40 or 29 ?
0
9.
1
Compare each pair of fractions given below.
0
8.
1
7
Since 5 is to the right of 7 on the number line,
1
1
is greater than 7 .
5
0
7.
1
To locate 5 , we divide the number line between 0 and 1 into
1
five equal pieces. The first piece begins at 0 and ends at 5 .
0
6.
1
Which is greater, 5 or 7 ?
We can compare 5 to 7 on the number line.
We can
compare unit
fractions on a
number line.
PRACTICE
5.
1
EXAMPLE
1
1
Which is greater, 91 or 100 ?
1
9. __________
Beast Academy Practice 3D
EXAMPLE
15
Write 3 as a whole number.
Since fractions are another way
15
to write division, 3 means 15÷3.
15
So, 3 equals 15÷3=5.
PRACTICE
Write each fraction below as a whole number.
10.
16
=_____
8
11.
48
=_____
4
12.
45
=_____
9
13.
75
=_____
25
14.
39
=_____
13
15.
12
=_____
12
PRACTICE
16.
18.
3
3
20.
22.
12
35
Fill in the numerator that will make each equation below true.
=2
17.
=12
19.
PRACTICE
Whole - Num b e r Fra ct ions
Some fractions
equal whole
numbers!
F RACTIONS
Excerpt from Beast Academy Guide 3D. (C) 2013 www.BeastAcademy.com
7
6
=10
=9
Fill in the denominator that will make each equation below true.
=2
21.
=5
23.
Beast Academy Practice 3D
56
36
=7
=4
Guide Pages: 22-24
9
Excerpt from Beast Academy Guide 3D. (C) 2013 www.BeastAcademy.com
F RACTIONS
Fra ct ion Link
In a Fraction Link puzzle, the goal is to connect
each pair of equal numbers by a path.
|n these
Fraction
Link puzzles,
we connect
fractions and
whole numbers
that are
equal.
•
•
•
Paths may only go up, down, left or right through squares.
Paths must begin and end at a number, but they may not pass
through squares that contain numbers.
Only one path may pass through each square.
Below is an example of a Fraction Link puzzle and its solution:
20
5
21
7
12
2
15
3
6
3
4
PRACTICE
20
5
21
7
12
2
15
3
5
6
3
4
5
Solve each Fraction Link puzzle below. We recommend using a pencil.
You can print more copies of these Fraction Link puzzles at BeastAcademy.com.
24.
25.
1
1
2
2
10
5
6
2
3
9
3
4
2
5
5
6
6
26.
3
27.
8
2
11
11
12
6
2
3
2
4
4
6
3
10
3
Guide Pages: 22-24
12
4
40
10
18
6
1
Beast Academy Practice 3D