https://file.aiquickdraw.com/mathbot/file/1726588737145dabqv5fy.jpg

The image shows two fractions that need to be subtracted. The problem is:

\[
\frac{42}{5} - \frac{23}{6}
\]

To solve this, let's proceed step-by-step:

### Step 1: Find a common denominator.
The denominators are 5 and 6. The least common denominator (LCD) is the least common multiple (LCM) of 5 and 6, which is 30.

### Step 2: Convert the fractions to have the same denominator.
- \(\frac{42}{5} = \frac{42 \times 6}{5 \times 6} = \frac{252}{30}\)
- \(\frac{23}{6} = \frac{23 \times 5}{6 \times 5} = \frac{115}{30}\)

### Step 3: Subtract the numerators.
Now, subtract the two fractions:

\[
\frac{252}{30} - \frac{115}{30} = \frac{252 - 115}{30} = \frac{137}{30}
\]

So, the result is:

\[
\frac{137}{30}
\]

This fraction is already in its simplest form.

Let me know if you'd like further details or clarifications! Here are 5 related questions for deeper understanding:

1. How do you calculate the least common denominator (LCD) for any two fractions?
2. What steps are necessary to simplify fractions after subtraction?
3. How can you convert improper fractions to mixed numbers?
4. Why is finding the least common denominator important in adding or subtracting fractions?
5. How do you check if a fraction is in its simplest form?

**Tip**: Always ensure that the denominators are the same before adding or subtracting fractions.

Learn how to subtract fractions by finding the least common denominator and simplifying the result. This example problem involves the fractions 42/5 and 23/6, providing a step-by-step solution to subtract them and simplify the final answer. Suitable for students in Grades 6-8.

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