https://file.aiquickdraw.com/mathbot/file/172670955299964n1zxsy.jpg

It seems like I can’t do more advanced data analysis right now. Please try again later. However, I can still help with solving the problem based on the image directly.

The equation in the image is:

\[
6 \frac{1}{5} + 9 \frac{2}{3}
\]

Let me walk you through solving it step by step:

1. Convert the mixed numbers into improper fractions:
   - \( 6 \frac{1}{5} = \frac{31}{5} \) because \( 6 \times 5 + 1 = 31 \).
   - \( 9 \frac{2}{3} = \frac{29}{3} \) because \( 9 \times 3 + 2 = 29 \).

2. Now, add the two improper fractions:
   \[
   \frac{31}{5} + \frac{29}{3}
   \]
   To add these fractions, we need a common denominator, which is 15.

   - Multiply \( \frac{31}{5} \) by \( \frac{3}{3} \) to get \( \frac{93}{15} \).
   - Multiply \( \frac{29}{3} \) by \( \frac{5}{5} \) to get \( \frac{145}{15} \).

3. Now, add the numerators:
   \[
   \frac{93}{15} + \frac{145}{15} = \frac{238}{15}
   \]

4. Convert \( \frac{238}{15} \) into a mixed number:
   \[
   238 \div 15 = 15 \text{ remainder } 13
   \]
   So, \( \frac{238}{15} = 15 \frac{13}{15} \).

Thus, the final answer is:

\[
15 \frac{13}{15}
\]

Let me know if you'd like further details or have any questions!

Here are 5 related questions to practice:
1. \( 7 \frac{3}{4} + 5 \frac{2}{3} = ? \)
2. \( 3 \frac{1}{2} + 8 \frac{3}{5} = ? \)
3. \( 10 \frac{5}{6} - 6 \frac{1}{3} = ? \)
4. \( 12 \frac{7}{8} + 4 \frac{5}{6} = ? \)
5. \( 9 \frac{3}{10} + 2 \frac{4}{7} = ? \)

**Tip:** When adding or subtracting mixed numbers, always convert them to improper fractions first for easier calculation!

Learn how to add mixed numbers 6 1/5 and 9 2/3 with a step-by-step solution. This problem covers key concepts such as converting mixed numbers to improper fractions, finding a common denominator, and adding fractions. Suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation