Introduction to the 1/16 Inch Ruler: A measurement worksheet for students to practice reading a ruler with 1/16 inch increments.

Let's solve this step by step.

We are given a ruler marked in 1/16 inch increments, and we need to determine the measurement at each letter (A through L) to the nearest 1/16 inch, and express the answers in lowest terms.

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🔍 Understanding the Ruler:

- The ruler is marked from 0 to 7 inches.
- Each inch is divided into 16 parts, so each small tick represents 1/16 inch.
- We will count how many 1/16-inch marks are from the start (0) to each letter.

Let’s go through each letter:

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✔ Step-by-step Measurement:

#### A
- Located just after 0, at the first small tick.
- So: 1/16

✔ A = 1/16

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#### B
- Next tick after A → second tick → 2/16
- Simplify: 2/16 = 1/8

✔ B = 1/8

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#### C
- At the third tick after 1 inch? Wait — let's check carefully.

Wait — the labels are under the ruler. Let's look at the positions.

From left to right:

- A and B are before 1 inch.
- C and D are between 1 and 2 inches.
- E and F are between 2 and 3 inches.
- G is near 3 inches.
- H and I are between 3 and 4.
- J is between 4 and 5.
- K is between 5 and 6.
- L is near 7.

So let's count ticks from the beginning.

But better: use the inch markings as reference.

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Let’s number the ticks from 0 to 7 inches, with each inch having 16 subdivisions.

So:
- 0 → 0
- 1 inch = 16/16
- 2 inches = 32/16
- 3 inches = 48/16
- etc.

We’ll find the position of each letter in sixteenths.

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A

- Just after 0 → first tick → 1/16

✔ A = 1/16

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B

- Second tick → 2/16 = 1/8

✔ B = 1/8

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C

- Between 1 and 2 inches.
- From the diagram: C is at the 5th tick after 1 inch.
- 1 inch = 16/16
- Add 5/16 → 21/16

✔ C = 21/16

But wait — 21/16 is greater than 1, which makes sense.

But can we simplify? 21 and 16 have no common factors → already simplified.

✔ C = 21/16

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D

- Also between 1 and 2 inches.
- Look closely: D is at the 7th tick after 1 inch?
- Let's see: from 1 inch, count:
- 1st tick: 17/16
- 2nd: 18/16
- 3rd: 19/16
- 4th: 20/16
- 5th: 21/16 → that’s C
- 6th: 22/16
- 7th: 23/16 → D?

Wait — but C and D are close together.

Looking at the image again: C and D are both labeled with arrows pointing to the same tick? No — actually, two arrows point to one tick for C and D? That seems odd.

Wait — looking at the diagram:
There are two arrows pointing to the same tick at around 1 and 5/16, labeled C and D.

But that would mean C and D are the same point?

That might be a typo or misunderstanding.

Wait — perhaps the diagram shows C and D at different points.

Let me re-express.

Looking at the ruler:

- After 1 inch, there are ticks:
- 1/16, 2/16, ..., up to 16/16 = 1 inch.

Then after 1 inch:
- 1 + 1/16 = 17/16
- 1 + 2/16 = 18/16
- ...
- 1 + 5/16 = 21/16 → this is C
- 1 + 6/16 = 22/16 → this is D

Yes! Because the arrow for C is slightly before D.

So:
- C = 1 + 5/16 = 21/16
- D = 1 + 6/16 = 22/16 = 11/8

Simplify: 22/16 = 11/8

✔ C = 21/16
✔ D = 11/8

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E

- Between 2 and 3 inches.
- Arrow points to the 3rd tick after 2 inches.
- 2 inches = 32/16
- Add 3/16 → 35/16

✔ E = 35/16

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F

- Next tick after E → 4th tick after 2 inches → 36/16
- Simplify: 36/16 = 9/4

✔ F = 9/4

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G

- Arrow points to just after 3 inches, at the second tick after 3 inches.
- 3 inches = 48/16
- Add 2/16 → 50/16 = 25/8

✔ G = 25/8

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H

- Between 3 and 4 inches.
- Arrow points to the 10th tick after 3 inches?
- Let’s count:
- 3 inches = 48/16
- 48/16 + 10/16 = 58/16 = 29/8

Wait — is it 10?

Look: after 3, the ticks go:
- 3 1/16 = 49/16
- 3 2/16 = 50/16
- ...
- 3 10/16 = 58/16 = 29/8

But visually, H is closer to 3.5?

Wait — let’s look at the diagram.

H and I are very close together, just after 3.5.

Wait — the label says "H I" together, pointing to the same tick? Or separate?

Actually, two arrows pointing to the same tick — maybe H and I are the same?

But likely, H is at 3 8/16 = 3 1/2 = 3.5, and I is next.

But let’s check.

Wait — the ruler has:
- 3.5 = 3 + 8/16 = 56/16

So:
- H → 3 + 8/16 = 56/16 = 7/2
- I → 3 + 9/16 = 57/16

But the arrows are very close.

Looking at the diagram:
- H and I are both pointing to the 8th tick after 3 inches?

No — H is slightly before I.

But actually, the arrow for H is at 3 8/16 = 3.5, and I is at 3 9/16?

Wait — let’s count from 3:

- 3 + 1/16 = 49/16
- ...
- 3 + 8/16 = 56/16 = 3.5 → this is H
- 3 + 9/16 = 57/16 → I

Yes.

✔ H = 56/16 = 7/2

✔ I = 57/16

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J

- Between 4 and 5 inches.
- Arrow points to the 5th tick after 4 inches.
- 4 = 64/16
- 64/16 + 5/16 = 69/16

✔ J = 69/16

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K

- Between 5 and 6 inches.
- Arrow points to the 12th tick after 5 inches?
- 5 = 80/16
- 80/16 + 12/16 = 92/16 = 23/4

✔ K = 23/4

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L

- Near 7 inches.
- Arrow points to the 14th tick after 6 inches?
- 6 = 96/16
- 96/16 + 14/16 = 110/16 = 55/8

Wait — but 7 inches = 112/16

So 110/16 = 6.875 → yes, just before 7.

So:
- L = 110/16 = 55/8

✔ L = 55/8

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Now let’s compile all answers:

| Letter | Measurement | Simplified |
|--------|-------------|------------|
| A | 1/16 | 1/16 |
| B | 2/16 | 1/8 |
| C | 21/16 | 21/16 |
| D | 22/16 | 11/8 |
| E | 35/16 | 35/16 |
| F | 36/16 | 9/4 |
| G | 50/16 | 25/8 |
| H | 56/16 | 7/2 |
| I | 57/16 | 57/16 |
| J | 69/16 | 69/16 |
| K | 92/16 | 23/4 |
| L | 110/16 | 55/8 |

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✔ Final Answers:

```
A: 1/16
B: 1/8
C: 21/16
D: 11/8
E: 35/16
F: 9/4
G: 25/8
H: 7/2
I: 57/16
J: 69/16
K: 23/4
L: 55/8
```

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✔ Explanation:

- Each mark on the ruler represents 1/16 inch.
- We counted how many sixteenths from 0 to each letter.
- Then reduced fractions to lowest terms using GCD where possible.
- For example:
- 22/16 = 11/8 (divided numerator and denominator by 2)
- 36/16 = 9/4 (÷4)
- 50/16 = 25/8 (÷2)

All answers are now in lowest terms.

Let me know if you'd like this formatted for printing or as a table.