Problem Analysis:
The task requires placing a blue dot on a number line at the position corresponding to the fraction \( \frac{15}{7} \). Let's break this down step by step.
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Step 1: Understand the Fraction
The fraction \( \frac{15}{7} \) can be interpreted as:
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Numerator: 15
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Denominator: 7
This means we are dividing 15 into 7 equal parts. To locate this on the number line, we need to determine its decimal or mixed number equivalent.
#### Convert \( \frac{15}{7} \) to a Mixed Number:
Perform the division \( 15 \div 7 \):
- \( 7 \) goes into \( 15 \) two times (since \( 7 \times 2 = 14 \)).
- The remainder is \( 15 - 14 = 1 \).
Thus, \( \frac{15}{7} = 2 \frac{1}{7} \).
This tells us that \( \frac{15}{7} \) is located between 2 and 3 on the number line, specifically \( 2 + \frac{1}{7} \).
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Step 2: Analyze the Number Line
The number line is marked from 1 to 4, with each whole number divided into 7 equal segments (as indicated by the ticks). This means:
- Each segment represents \( \frac{1}{7} \).
- The number 2 is at the start of the second major division.
- To reach \( 2 \frac{1}{7} \), we need to move 1 segment to the right of 2.
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Step 3: Locate \( \frac{15}{7} \) on the Number Line
Since \( \frac{15}{7} = 2 \frac{1}{7} \):
1. Start at 2.
2. Move 1 segment to the right (since \( \frac{1}{7} \) is one segment).
On the given number line, the blue dot should be placed at the first tick to the right of 2.
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Step 4: Verify the Position
- The number line is divided into 7 segments between each whole number.
- The blue dot is currently positioned slightly to the right of 2, which aligns with \( 2 \frac{1}{7} \).
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Final Answer:
The blue dot should be dragged to the first tick to the right of 2. This corresponds to the position of \( \frac{15}{7} \).
\[
\boxed{\text{Drag the blue dot to the first tick to the right of 2.}}
\]
Parent Tip: Review the logic above to help your child master the concept of fraction number line.
