Thanks for sharing the image! Let me analyze the math questions in the image. I'll solve a few of them and provide detailed explanations. If you'd like me to focus on specific ones, just let me know!

Solving Question 7:

A man walks $2 \frac{5}{8} \, \text{km}$ and then runs $1 \frac{3}{4} \, \text{km}$. How far has he traveled in total?

1. Convert mixed fractions into improper fractions:

   • $2 \frac{5}{8} = \frac{16 + 5}{8} = \frac{21}{8}$
   • $1 \frac{3}{4} = \frac{4 + 3}{4} = \frac{7}{4}$

2. Find a common denominator for $\frac{21}{8}$ and $\frac{7}{4}$:

   • The least common denominator (LCD) is $8$.
   • Rewrite $\frac{7}{4}$ as $\frac{14}{8}$.

3. Add the fractions: $\frac{21}{8} + \frac{14}{8} = \frac{35}{8}$

4. Convert back to a mixed fraction:

   • $\frac{35}{8} = 4 \, \frac{3}{8}$.

Answer: $4 \frac{3}{8} \, \text{km}$.

Solving Question 9:

Jacinta has $\frac{2}{3}$ of a litre of water in a jug and pours in $\frac{1}{4}$ of a litre. How much water is in the jug now?

1. Find a common denominator for $\frac{2}{3}$ and $\frac{1}{4}$:

   • The LCD is $12$.
   • Rewrite $\frac{2}{3}$ as $\frac{8}{12}$ and $\frac{1}{4}$ as $\frac{3}{12}$.

2. Add the fractions: $\frac{8}{12} + \frac{3}{12} = \frac{11}{12}$

Answer: $\frac{11}{12} \, \text{litres}$.

Solving Question 14(a):

In a packet of jelly beans, $\frac{1}{3}$ are purple, $\frac{1}{8}$ are black, and $\frac{1}{4}$ are red. What fraction of the jelly beans are either purple or black?

1. Find a common denominator for $\frac{1}{3}$ and $\frac{1}{8}$:

   • The LCD is $24$.
   • Rewrite $\frac{1}{3}$ as $\frac{8}{24}$ and $\frac{1}{8}$ as $\frac{3}{24}$.

2. Add the fractions: $\frac{8}{24} + \frac{3}{24} = \frac{11}{24}$

Answer: $\frac{11}{24}$.

Let me know if you'd like me to solve others in the image or explain these solutions further!

Follow-up Questions:

1. Can you solve Question 13 about the journey to Albury?
2. Would you like a step-by-step breakdown of mixed fraction conversions?
3. Should I simplify fractions further for clarity in explanations?
4. How about tackling the subtraction problems in the image (e.g., Question 8)?
5. Would you like me to focus on specific questions for practice?

Tip: When adding or subtracting fractions, always start by finding the least common denominator to simplify calculations!