Problem: Fill in the missing mixed numbers on the number lines.
####
Step-by-Step Solution:
---
1) Number Line from 4 to 5
The number line is divided into
6 equal parts between 4 and 5. This means each segment represents:
\[
\frac{1}{6}
\]
#### Missing Mixed Numbers:
- The first arrow points to the second mark after 4.
- This is \( 4 + \frac{2}{6} = 4 \frac{2}{6} \).
- Simplify \( \frac{2}{6} \) to \( \frac{1}{3} \).
- So, the first mixed number is \( 4 \frac{1}{3} \).
- The second arrow points to the fourth mark after 4.
- This is \( 4 + \frac{4}{6} = 4 \frac{4}{6} \).
- Simplify \( \frac{4}{6} \) to \( \frac{2}{3} \).
- So, the second mixed number is \( 4 \frac{2}{3} \).
#### Final Answers for Part 1:
\[
4 \frac{1}{3}, \quad 4 \frac{2}{3}
\]
---
2) Number Line from 8 to 9
The number line is divided into
4 equal parts between 8 and 9. This means each segment represents:
\[
\frac{1}{4}
\]
#### Missing Mixed Numbers:
- The first arrow points to the first mark after 8.
- This is \( 8 + \frac{1}{4} = 8 \frac{1}{4} \).
- The second arrow points to the third mark after 8.
- This is \( 8 + \frac{3}{4} = 8 \frac{3}{4} \).
#### Final Answers for Part 2:
\[
8 \frac{1}{4}, \quad 8 \frac{3}{4}
\]
---
3) Number Line from 0 to 3
The number line is divided into
8 equal parts between 0 and 3. This means each segment represents:
\[
\frac{3}{8}
\]
#### Missing Mixed Numbers:
- The first arrow points to the second mark after 0.
- This is \( 0 + \frac{2}{8} = \frac{2}{8} \).
- Simplify \( \frac{2}{8} \) to \( \frac{1}{4} \).
- So, the first mixed number is \( \frac{1}{4} \).
- The second arrow points to the fifth mark after 0.
- This is \( 0 + \frac{5}{8} = \frac{5}{8} \).
- The third arrow points to the seventh mark after 0.
- This is \( 0 + \frac{7}{8} = \frac{7}{8} \).
#### Final Answers for Part 3:
\[
\frac{1}{4}, \quad \frac{5}{8}, \quad \frac{7}{8}
\]
---
Final Answer:
\[
\boxed{
1) \, 4 \frac{1}{3}, \, 4 \frac{2}{3} \\
2) \, 8 \frac{1}{4}, \, 8 \frac{3}{4} \\
3) \, \frac{1}{4}, \, \frac{5}{8}, \, \frac{7}{8}
}
\]
Parent Tip: Review the logic above to help your child master the concept of fractions and mixed numbers on a number line worksheet.
