To plot the numbers $-1 \frac{5}{6}$ and $\frac{2}{3}$ on the given number line:

1. Convert the mixed fraction $-1 \frac{5}{6}$ to an improper fraction: $-1 \frac{5}{6} = -\left(1 + \frac{5}{6}\right) = -\frac{11}{6}.$

2. Locate $-\frac{11}{6}$: $-\frac{11}{6} \approx -1.8333 \, (\text{between } -2 \text{ and } -1 \, \text{on the number line, closer to } -2).$

3. Locate $\frac{2}{3}$: $\frac{2}{3} = 0.6667 \, (\text{between } 0 \text{ and } 1 \, \text{on the number line, closer to } 1).$

Steps to plot:

• Mark $-\frac{11}{6}$ between $-2$ and $-1$ slightly closer to $-2$.
• Mark $\frac{2}{3}$ between $0$ and $1$ slightly closer to $1$.

Would you like an additional visual explanation or details about fractional conversion?

Related Questions:

1. What is the process for converting mixed fractions to improper fractions?
2. How do you determine approximate positions of fractions on a number line?
3. What are some methods to simplify fractions before plotting?
4. How does the position of negative fractions differ from positive fractions on a number line?
5. What tools can be used to plot fractions accurately?

Tip:

When plotting fractions on a number line, convert them to decimal form for more precision in positioning!