To solve the expression \( \frac{45}{3} - \frac{6}{7} \), follow these steps:

1. **Divide** \( 45 \) by \( 3 \):
   \[
   \frac{45}{3} = 15
   \]

2. **Subtract** \( \frac{6}{7} \) from \( 15 \):
   \[
   15 - \frac{6}{7} = \frac{15 \times 7}{7} - \frac{6}{7} = \frac{105}{7} - \frac{6}{7} = \frac{99}{7}
   \]

3. **Simplify the final result**:
   \[
   \frac{99}{7} \approx 14.14
   \]

So, the expression \( \frac{45}{3} - \frac{6}{7} \) simplifies to \( \frac{99}{7} \), which is approximately \( 14.14 \).

Would you like a detailed explanation or have any questions?

Here are 5 related questions:

1. How do you simplify the expression \( \frac{a}{b} - \frac{c}{d} \)?
2. What is the decimal representation of \( \frac{99}{7} \)?
3. How do you convert a mixed number to an improper fraction?
4. What is the difference between simplifying and evaluating an expression?
5. How do you perform arithmetic operations with fractions?

**Tip:** When subtracting fractions, always ensure they have a common denominator before performing the operation.

Learn how to simplify the expression 45/3 - 6/7 through a detailed, step-by-step solution. This problem covers key arithmetic concepts, including division and subtraction of fractions, and is suitable for students in Grades 6-8.

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