Which point is at 
 
\[\dfrac{4}{​6}\] on the number line?
Choose 1 answer:
Choose 1 answer:
(Choice A)   
\[\greenD{A}\] A number line that has, moving left to right, a starting tick mark at 0, five unlabeled tick marks, a tick mark labeled 1, and three unlabeled tick marks. There is a green dot at the fourth tick mark after 0. 
\[0\]
\[1\]

A
\[\greenD{A}\] A number line that has, moving left to right, a starting tick mark at 0, five unlabeled tick marks, a tick mark labeled 1, and three unlabeled tick marks. There is a green dot at the fourth tick mark after 0. 
\[0\]
\[1\]
(Choice B)   
\[\maroonD{B}\] A number line that has, moving left to right, a starting tick mark at 0, five unlabeled tick marks, a tick mark labeled 1, and three unlabeled tick marks. There is a pink dot at the third tick mark after 0.
\[0\]
\[1\]

B
\[\maroonD{B}\] A number line that has, moving left to right, a starting tick mark at 0, five unlabeled tick marks, a tick mark labeled 1, and three unlabeled tick marks. There is a pink dot at the third tick mark after 0.
\[0\]
\[1\]
(Choice C)   
\[\blueD{C}\] A number line that has, moving left to right, a starting tick mark at 0, eleven unlabeled tick marks, a tick mark labeled 1, and six unlabeled tick marks. There is a blue dot at the fourth tick mark after 0.
\[0\]
\[1\]

C
\[\blueD{C}\] A number line that has, moving left to right, a starting tick mark at 0, eleven unlabeled tick marks, a tick mark labeled 1, and six unlabeled tick marks. There is a blue dot at the fourth tick mark after 0.


To determine which point corresponds to \(\frac{4}{6}\) on the number line, let's first simplify the fraction:

\[
\frac{4}{6} = \frac{2}{3}
\]

So, we are looking for the position \(\frac{2}{3}\) between 0 and 1 on the number line.

### Breakdown of each choice:
- **Choice A:** This number line has five equal divisions between 0 and 1, and the green dot is placed at the fourth tick mark after 0. Since the line is divided into fifths, this dot represents \(\frac{4}{5}\), not \(\frac{2}{3}\).
- **Choice B:** This number line also has five equal divisions between 0 and 1, and the pink dot is placed at the third tick mark after 0. This dot represents \(\frac{3}{5}\), which is not equivalent to \(\frac{2}{3}\).
- **Choice C:** This number line has twelve equal divisions between 0 and 1, and the blue dot is at the fourth tick mark after 0. Since the line is divided into twelfths, this dot represents \(\frac{4}{12}\), which simplifies to \(\frac{1}{3}\), not \(\frac{2}{3}\).

Thus, none of these options correspond exactly to \(\frac{4}{6}\) or \(\frac{2}{3}\). It seems that none of the provided answers match the correct point.

Would you like further clarification, or should I help with something else?

Here are 5 related questions:
1. How can you convert fractions to decimals to better place them on a number line?
2. What is the best way to divide a number line for fractions like \(\frac{2}{3}\)?
3. How can you compare two fractions like \(\frac{4}{6}\) and \(\frac{1}{2}\) visually?
4. How do number lines help in understanding fraction equivalence?
5. What is the process to simplify fractions like \(\frac{4}{6}\)?

**Tip:** Always simplify fractions first before placing them on a number line for easier interpretation.

Which point is at \(\dfrac{4}{6}\) on the number line? Choose 1 answer: (A) Green dot at fourth tick mark on a number line divided into fifths, (B) Pink dot at third tick mark on a number line divided into fifths, (C) Blue dot at fourth tick mark on a number line divided into twelfths.

Learn how to identify the fraction \(\dfrac{4}{6}\) on a number line by simplifying it to \(\dfrac{2}{3}\). This exercise covers key concepts such as simplifying fractions, representing fractions on a number line, and comparing fractions with different denominators. Suitable for students in Grades 4-6.

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