\begin{tabular}{l|l}\hline Draw the number line and \\ label the point \( \frac{10}{6} \). Write \\ the mixed number also. \end{tabular}

To solve the problem, we need to follow these steps: 1. **Convert the improper fraction \( \frac{10}{6} \) to a mixed number.** 2. **Draw a number line and label the point corresponding to \( \frac{10}{6} \).** ### Step 1: Convert \( \frac{10}{6} \) to a Mixed Number To convert an improper fraction to a mixed number, we divide the numerator by the denominator: - Divide \( 10 \) by \( 6 \): \[ 10 \div 6 = 1 \quad \text{(whole number)} \] - The remainder is: \[ 10 - (6 \times 1) = 4 \] - Therefore, we can express \( \frac{10}{6} \) as: \[ 1 \frac{4}{6} \] - We can simplify \( \frac{4}{6} \) to \( \frac{2}{3} \): \[ 1 \frac{2}{3} \] So, the mixed number is \( 1 \frac{2}{3} \). ### Step 2: Draw the Number Line Now, we will draw a number line and label the point corresponding to \( \frac{10}{6} \) or \( 1 \frac{2}{3} \). 1. Draw a horizontal line. 2. Mark points at intervals, such as \( 0, 1, 2, 3 \). 3. Between \( 1 \) and \( 2 \), divide the segment into three equal parts to represent thirds. 4. Label the first mark after \( 1 \) as \( 1 \frac{1}{3} \) and the second mark as \( 1 \frac{2}{3} \). Here is a representation of the number line: ``` |---|---|---|---|---|---|---| 0 1 2 3 | 1 2/3 ``` ### Summary - The mixed number for \( \frac{10}{6} \) is \( 1 \frac{2}{3} \). - The point \( \frac{10}{6} \) is labeled on the number line between \( 1 \) and \( 2 \) at \( 1 \frac{2}{3} \).