Fractions on the Number Line - Free Printable

To solve this problem, we need to place the blue dot at the correct position on the number line corresponding to the fraction:

$$
\frac{15}{7}
$$

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Step 1: Convert the fraction to a mixed number

We divide 15 by 7:

$$
15 \div 7 = 2 \text{ remainder } 1
$$

So,

$$
\frac{15}{7} = 2 \frac{1}{7}
$$

This means the value is 2 and 1/7, which is slightly more than 2, but less than 3.

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Step 2: Understand the number line

The number line shows:
- Markings from 1 to 4.
- Between each whole number (e.g., between 2 and 3), there are 7 small ticks.

That means each tick represents 1/7 of a unit.

So:
- The first tick after 2 is $ 2 + \frac{1}{7} $
- The second tick is $ 2 + \frac{2}{7} $
- ...
- The seventh tick is $ 2 + \frac{7}{7} = 3 $

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Step 3: Find where $ 2 \frac{1}{7} $ is

Since $ \frac{15}{7} = 2 \frac{1}{7} $, we want to place the dot at the first tick after 2.

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✔ Final Answer:

Drag the blue dot to the first tick mark to the right of 2 on the number line.

This corresponds to $ 2 + \frac{1}{7} = \frac{15}{7} $.

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💡 Tip: If you're unsure, count the ticks:
- From 2 → 1st tick: $ 2 \frac{1}{7} $ → This is $ \frac{15}{7} $
- So yes, it's the first tick after 2.

✔ That’s your answer!