# Ruler Tutorial

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```					                                              RULER TUTORIAL
                                                    NOTE: All the fractions labeled on the left
have an odd number on top and an even
number on bottom. This is because, if
there were even on top and bottom, it

1
1
would "reduce" by dividing top and
63
64

31
32
61                                                            bottom by 2.
64

15
16
59
64

29
32
57
64

EXAMPLE:

7
8
55
64

27
32

1                  2                  4                  8               16
53
64

13
16                                                  =                  =                  =                  =
51
64

25
32

2                  4                  8              16                  32
49
64

3
4
47
64

23
32

Look at the dividing chart below
45
64

11
16

to prove it to yourself:
43
64

21
32
41
64

5
8

DIVIDING CHART
39
64

19
32
37
64

16
9
35
64

Whole
17
32
33
64

1
2
31
64

15
32

1/2                                                 1/2
29
64

16
7
27
64

13
32
25
64

1/4                       1/4                       1/4                     1/4
3
8
23
64

11
32
21
64

16
5

1/8           1/8       1/8           1/8           1/8         1/8         1/8         1/8
19
64

32
9
17
64

1
4

1    1        1    1    1        1    1    1        1     1   1        1    1    1    1    1
15
64

32

—    —        —    —    —        —    —    —        —    —    —        —    —    —    —    —
7
13
64

16   16       16   16   16       16   16   16       16   16   16       16   16   16   16   16
16
3
11
64

32
5

The next dividing would make thirty-two 1/32 nds.
64
9

1
8
64
7

32
3
64
5

And the next dividing would make sixty-four 1/64 ths.
16
1
64
3

32
1
64
1

0
0

A thick line divides the bar in half,
which holds one 1/2, two 1/4ths,
1             1    1         1       1       1
64            32       16        8       4       2   WHOLE              four 1/8ths, and eight 1/16ths.
RULER QUIZ
NAME                            DATE

Fill in the measurements below.                                            Write the size of each
(Turn the page sideways so the boxes turn into fractions.)                        fraction in the boxes below.
Whole
/                           /
/               /           /               /

1
/       /       /       /   /       /       /       /

— — — — — — — — — — — — — — — —

The next dividing would make _____          1/_____ .

The next dividing would make _____          1/_____ .

Label the lengths below.
0                                                           1

/   "

/   "

/   "

/   "

/   "

/   "

/   "
0

1      1      1       1      1      1                          0                                                           1
WHOLE

Start on the left and draw a line the length listed, along the dotted line.
(Approximate the length if the ruler doesn't show the mark you need.)
1/2"

1    1/4"

5/8"

1 1/16"

7/16"

9/32"

1 3/32"

15/64"

0                                                                               1

```
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