https://file.aiquickdraw.com/mathbot/file/1726176175757j9sq6sks.jpg

Let’s go through each of the questions shown in the image and solve them one by one.

### Question 1: 
**What do you add to \( \frac{13}{4} \) to make 4?**

We can convert 4 into a fraction with the same denominator:
\[
4 = \frac{16}{4}
\]
Now, subtract \( \frac{13}{4} \) from \( \frac{16}{4} \):
\[
\frac{16}{4} - \frac{13}{4} = \frac{16 - 13}{4} = \frac{3}{4}
\]
So, you need to add **\( \frac{3}{4} \)**.

### Question 2:
**How much do you need to subtract from \( \frac{29}{6} \) to make 4?**

Convert 4 into a fraction with denominator 6:
\[
4 = \frac{24}{6}
\]
Now subtract \( \frac{24}{6} \) from \( \frac{29}{6} \):
\[
\frac{29}{6} - \frac{24}{6} = \frac{29 - 24}{6} = \frac{5}{6}
\]
So, you need to subtract **\( \frac{5}{6} \)**.

### Question 3:
**How much do you need to subtract from \( \frac{77}{10} \) to make 7?**

Convert 7 into a fraction with denominator 10:
\[
7 = \frac{70}{10}
\]
Now subtract \( \frac{70}{10} \) from \( \frac{77}{10} \):
\[
\frac{77}{10} - \frac{70}{10} = \frac{77 - 70}{10} = \frac{7}{10}
\]
So, you need to subtract **\( \frac{7}{10} \)**.

### Question 4:
**What do you add to \( 2 \frac{3}{8} \) to make 6?**

First, convert \( 2 \frac{3}{8} \) into an improper fraction:
\[
2 \frac{3}{8} = \frac{19}{8}
\]
Now convert 6 into a fraction with denominator 8:
\[
6 = \frac{48}{8}
\]
Subtract \( \frac{19}{8} \) from \( \frac{48}{8} \):
\[
\frac{48}{8} - \frac{19}{8} = \frac{48 - 19}{8} = \frac{29}{8}
\]
So, you need to add **\( \frac{29}{8} \)**.

### Question 5:
**What do you add to \( 2 \frac{3}{7} \) to make 4?**

First, convert \( 2 \frac{3}{7} \) into an improper fraction:
\[
2 \frac{3}{7} = \frac{17}{7}
\]
Now convert 4 into a fraction with denominator 7:
\[
4 = \frac{28}{7}
\]
Subtract \( \frac{17}{7} \) from \( \frac{28}{7} \):
\[
\frac{28}{7} - \frac{17}{7} = \frac{28 - 17}{7} = \frac{11}{7}
\]
So, you need to add **\( \frac{11}{7} \)**.

### Question 6:
**What do you add to \( 2 \frac{8}{9} \) to make 5?**

First, convert \( 2 \frac{8}{9} \) into an improper fraction:
\[
2 \frac{8}{9} = \frac{26}{9}
\]
Now convert 5 into a fraction with denominator 9:
\[
5 = \frac{45}{9}
\]
Subtract \( \frac{26}{9} \) from \( \frac{45}{9} \):
\[
\frac{45}{9} - \frac{26}{9} = \frac{45 - 26}{9} = \frac{19}{9}
\]
So, you need to add **\( \frac{19}{9} \)**.

---

Would you like further clarification on any of the steps?

Here are some additional related questions:
1. How can you convert mixed numbers to improper fractions and vice versa?
2. What strategies can you use to find a common denominator between two fractions?
3. How do you simplify fractions after performing addition or subtraction?
4. What is the difference between proper and improper fractions?
5. How can you subtract mixed numbers without converting them to improper fractions?

**Tip:** When adding or subtracting mixed numbers, it is often easier to convert them into improper fractions first!

What do you add to 13/4 to make 4? How much do you need to subtract from 29/6 to make 4? How much do you need to subtract from 77/10 to make 7? What do you add to 2 3/8 to make 6? What do you add to 2 3/7 to make 4? What do you add to 2 8/9 to make 5?

Learn how to solve problems involving addition and subtraction of fractions and mixed numbers. This problem includes converting mixed numbers to improper fractions and finding common denominators. Suitable for students in Grades 6-8.

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