https://file.aiquickdraw.com/mathbot/file/1726115695182namo1t5x.jpg

The problem in the image asks to subtract two fractions and express the result as a mixed number.

The equation is:
\[
6 \frac{3}{7} - \frac{6}{7}
\]

### Step-by-Step Solution:

1. **Convert the mixed number to an improper fraction**:
   The mixed number \(6 \frac{3}{7}\) can be converted to an improper fraction:
   \[
   6 \frac{3}{7} = \frac{6 \times 7 + 3}{7} = \frac{42 + 3}{7} = \frac{45}{7}
   \]

2. **Perform the subtraction**:
   Now subtract the two fractions:
   \[
   \frac{45}{7} - \frac{6}{7} = \frac{45 - 6}{7} = \frac{39}{7}
   \]

3. **Convert back to a mixed number**:
   To convert \(\frac{39}{7}\) back to a mixed number, divide 39 by 7. 
   \[
   39 \div 7 = 5 \text{ remainder } 4
   \]
   So, \(\frac{39}{7} = 5 \frac{4}{7}\).

Thus, the final answer is:
\[
5 \frac{4}{7}
\]

Would you like further details or clarifications?

Here are five related questions for practice:
1. What is \( 7 \frac{5}{6} - \frac{1}{6} \) as a mixed number?
2. How do you convert an improper fraction to a mixed number?
3. What is the difference between a mixed number and an improper fraction?
4. How can you subtract mixed numbers directly without converting to improper fractions?
5. How do you subtract fractions with different denominators?

**Tip**: When subtracting mixed numbers, it's often helpful to convert them to improper fractions first to simplify the arithmetic.

Write the mixed number (mixed numeral) that goes in the blanks: 6 3/7 - 6/7.

Learn how to subtract a mixed number from a fraction, using the example 6 3/7 - 6/7. This step-by-step solution helps students understand how to convert mixed numbers to improper fractions, perform subtraction, and convert back to mixed numbers. Suitable for students in Grades 4-6.

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