Let’s go step by step to solve this problem.
We are given the hours Jacob spent reading each day last week:
1 ¼, 1, 1, ¾, ¼, ¾, ¾
That’s 7 days total (one for each value).
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Step 1: Understand the data
List of daily reading times:
- Day 1: 1 ¼
- Day 2: 1
- Day 3: 1
- Day 4: ¾
- Day 5: ¼
- Day 6: ¾
- Day 7: ¾
We can also write them as improper fractions or decimals if needed, but since the number line uses fourths, let’s keep everything in fourths:
- 1 ¼ = 5/4
- 1 = 4/4
- ¾ = 3/4
- ¼ = 1/4
So rewritten:
5/4, 4/4, 4/4, 3/4, 1/4, 3/4, 3/4
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Question 1: What was the most amount of time Jacob spent reading in one day?
Look at the list:
The largest value is
1 ¼ (or 5/4).
✔ Answer:
1 ¼
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Question 2: What was the least amount of time Jacob spent reading in one day?
Smallest value is
¼.
✔ Answer:
¼
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Question 3: How many days did Jacob spend at least 1 hour reading?
“At least 1 hour” means 1 hour or more.
From the list:
- 1 ¼ → yes
- 1 → yes
- 1 → yes
- ¾ → no
- ¼ → no
- ¾ → no
- ¾ → no
So that’s
3 days.
✔ Answer:
3
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Question 4: How many days did Jacob spend reading ¾ of an hour?
Count how many times ¾ appears:
Looking at the original list:
1 ¼, 1, 1,
¾, ¼,
¾,
¾
→ That’s
three times.
✔ Answer:
3
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Question 5: How many total hours did Jacob spend reading last week?
Add all the values together:
Original list:
1 ¼ + 1 + 1 + ¾ + ¼ + ¾ + ¾
Group whole numbers and fractions separately.
Whole numbers: 1 + 1 =
2
Fractions:
1 ¼ has a fraction part: ¼
Then we have: ¾, ¼, ¾, ¾
So add all fractional parts:
¼ (from 1¼) + ¾ + ¼ + ¾ + ¾
Let’s convert all to fourths:
¼ + ¾ + ¼ + ¾ + ¾ =
(1 + 3 + 1 + 3 + 3)/4 =
11/4
Now add the whole numbers from before: 2
But wait — actually, let’s do it better by converting ALL values to fourths from the start:
Values in fourths:
- 1 ¼ = 5/4
- 1 = 4/4
- 1 = 4/4
- ¾ = 3/4
- ¼ = 1/4
- ¾ = 3/4
- ¾ = 3/4
Now add numerators:
5 + 4 + 4 + 3 + 1 + 3 + 3 =
5+4=9; 9+4=13; 13+3=16; 16+1=17; 17+3=20; 20+3=23
Total =
23/4
Convert to mixed number:
23 ÷ 4 = 5 with remainder 3 →
5 ¾
✔ Answer:
5 ¾
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Final Answer:
What was the most amount of time Jacob spent reading in one day?
1 ¼
What was the least amount of time Jacob spent reading in one day?
¼
How many days did Jacob spend at least 1 hour reading?
3
How many days did Jacob spend reading ¾ of an hour?
3
How many total hours did Jacob spend reading last week?
5 ¾
Parent Tip: Review the logic above to help your child master the concept of 3rd grade line plot worksheet.