To solve this problem, we need to read the measurements on the ruler at each lettered point. The ruler is marked in inches and fractions of an inch, specifically in 1/16-inch increments.
Let’s go step by step:
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Understanding the Ruler:
- The big numbers (1, 2, 3, etc.) are whole inches.
- Between each inch, there are 16 small marks — each representing 1/16 of an inch.
- Some lines are longer to show easier fractions like 1/8, 1/4, 3/8, 1/2, etc.
- We must measure to the nearest 1/16 and write it in lowest terms.
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Step-by-step measurement for each letter:
We’ll start from the left (0) and count how many 1/16 marks each letter is past the last whole number.
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A:
It’s at the very first mark after 0 → that’s
1/16
B:
Second mark after 0 →
2/16, which simplifies to
1/8
C:
Just before 2 inches — let’s count from 1 inch. From 1 to 2 is 16 marks. C is at the 14th mark after 1 → 1 + 14/16 = 1 14/16 → simplify 14/16 to 7/8 →
1 7/8
Wait — actually, looking again: C is just before 2. Let’s count from 0.
From 0 to 2 is 32 sixteenths. C is at the 30th sixteenth → 30/16 = 1 14/16 = 1 7/8 → same as above.
But wait — let’s be precise. Actually, looking at the diagram:
After 1 inch, the marks go:
1/16, 2/16, ..., up to 16/16 = 2.
C is at the 14th mark after 1 → so 1 + 14/16 = 1 7/8 → correct.
D:
One mark before C → 13/16 after 1 →
1 13/16
E:
Just after 2 — first mark after 2 →
2 1/16
F:
Second mark after 2 →
2 2/16 = 2 1/8
G:
Exactly at 3 →
3
H:
First mark after 4 →
4 1/16
I:
Second mark after 4 →
4 2/16 = 4 1/8
J:
Exactly at 5 →
5
K:
First mark after 6 →
6 1/16
L:
Third mark after 7? Wait — L is at 7 and then 3 more marks? No.
Looking again: L is at 7 and then 3 marks past? Actually, from 7 to the end, L is at the 3rd mark after 7 → 7 + 3/16 →
7 3/16
Wait — let me double-check all positions carefully by counting from 0.
Actually, better approach: Each major division is 1 inch = 16/16.
So position = (number of 1/16 marks from 0) / 16, then convert to mixed number if needed.
Let’s assign values:
- A: 1 mark → 1/16
- B: 2 marks → 2/16 = 1/8
- C: 30 marks → 30/16 = 1 14/16 = 1 7/8
- D: 29 marks → 29/16 = 1 13/16
- E: 33 marks → 33/16 = 2 1/16
- F: 34 marks → 34/16 = 2 2/16 = 2 1/8
- G: 48 marks → 48/16 = 3
- H: 65 marks → 65/16 = 4 1/16
- I: 66 marks → 66/16 = 4 2/16 = 4 1/8
- J: 80 marks → 80/16 = 5
- K: 97 marks → 97/16 = 6 1/16
- L: 115 marks → 115/16 = 7 3/16
Yes, that matches.
Now, let’s list them clearly:
A: 1/16
B: 1/8
C: 1 7/8
D: 1 13/16
E: 2 1/16
F: 2 1/8
G: 3
H: 4 1/16
I: 4 1/8
J: 5
K: 6 1/16
L: 7 3/16
All fractions are in lowest terms.
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Final Answer:
A: 1/16
B: 1/8
C: 1 7/8
D: 1 13/16
E: 2 1/16
F: 2 1/8
G: 3
H: 4 1/16
I: 4 1/8
J: 5
K: 6 1/16
L: 7 3/16
Parent Tip: Review the logic above to help your child master the concept of read a ruler worksheet.