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Line plot displaying rainwater collected by classes during a storm, with a question on equal distribution.

A line plot titled "Rainwater Gathered" showing the amount of rainwater collected by each class in cups, with data points at fractions like 1/8, 1/4, 3/8, 1/2, 5/8, 3/4, and 7/8. The graph includes a question about dividing the total rainwater evenly among participating classes.

A line plot titled "Rainwater Gathered" showing the amount of rainwater collected by each class in cups, with data points at fractions like 1/8, 1/4, 3/8, 1/2, 5/8, 3/4, and 7/8. The graph includes a question about dividing the total rainwater evenly among participating classes.

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Show Answer Key & Explanations Step-by-step solution for: 5 Things You Need to Know Before Teaching Fraction Line Plots ...
To solve this problem, we need to find the average amount of rainwater per class — that is, the total rainwater collected divided by the number of classes.

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Step 1: Count the number of classes (data points)



Each "x" on the line plot represents one class. Let’s count them:

- At 1/8: 1 x → 1 class
- At 1/4: 1 x → 1 class
- At 3/8: 1 x → 1 class
- At 1/2: 2 x’s → 2 classes
- At 5/8: 1 x → 1 class
- At 3/4: 3 x’s → 3 classes

Total number of classes = 1 + 1 + 1 + 2 + 1 + 3 = 9 classes

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Step 2: Find the total amount of rainwater collected



We’ll add up all the amounts represented by each "x".

Let’s list them:

- 1 class at 1/8 → contributes 1/8
- 1 class at 1/4 → contributes 1/4
- 1 class at 3/8 → contributes 3/8
- 2 classes at 1/2 → contribute 2 × 1/2 = 1
- 1 class at 5/8 → contributes 5/8
- 3 classes at 3/4 → contribute 3 × 3/4 = 9/4

Now, let’s add them all together:

> Total = 1/8 + 1/4 + 3/8 + 1 + 5/8 + 9/4

To add fractions, find a common denominator. The least common denominator for 8 and 4 is 8.

Convert all to eighths:

- 1/8 → 1/8
- 1/4 = 2/8
- 3/8 → 3/8
- 1 = 8/8
- 5/8 → 5/8
- 9/4 = 18/8

Now add:

> 1/8 + 2/8 + 3/8 + 8/8 + 5/8 + 18/8
= (1 + 2 + 3 + 8 + 5 + 18)/8
= 37/8

So, total rainwater = 37/8 cups

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Step 3: Divide total by number of classes to find average per class



Average = Total / Number of classes = (37/8) ÷ 9

Dividing by 9 is the same as multiplying by 1/9:

> (37/8) × (1/9) = 37/72

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Final Answer:



Each class would get 37/72 cups of rainwater.

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Optional Check (Decimal Approximation):



37 ÷ 72 ≈ 0.5139 cups — which makes sense, since most classes collected around 1/2 cup or more, and the average should be close to that.

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So, the answer is: 37/72 cups per class
Parent Tip: Review the logic above to help your child master the concept of line plot worksheet with fractions.
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