Find the LCD and use it to perform the indicated operations. Then, simplify and reduce, where necessary. 4 - 4/7

To solve the expression \( 4 - \frac{4}{7} \), we'll follow these steps:

### Step 1: Express the whole number 4 as a fraction
First, write 4 as a fraction with a denominator of 1:
\[
4 = \frac{4}{1}
\]
Now, the expression becomes:
\[
\frac{4}{1} - \frac{4}{7}
\]

### Step 2: Find the Least Common Denominator (LCD)
The denominators are 1 and 7. The least common denominator (LCD) between 1 and 7 is 7.

### Step 3: Rewrite the fractions with the LCD
Convert \( \frac{4}{1} \) so that it has a denominator of 7:
\[
\frac{4}{1} = \frac{4 \times 7}{1 \times 7} = \frac{28}{7}
\]
So now, the expression becomes:
\[
\frac{28}{7} - \frac{4}{7}
\]

### Step 4: Perform the subtraction
Now that both fractions have the same denominator, we can subtract the numerators:
\[
\frac{28}{7} - \frac{4}{7} = \frac{28 - 4}{7} = \frac{24}{7}
\]

### Step 5: Simplify (if necessary)
The fraction \( \frac{24}{7} \) is already in its simplest form because 24 and 7 have no common factors other than 1.

### Final Answer:
\[
4 - \frac{4}{7} = \frac{24}{7}
\]

Would you like more details or have any questions about the steps? Here are five related questions to expand on this topic:

1. How do you find the least common denominator (LCD) between more complex fractions?
2. Can you convert \( \frac{24}{7} \) into a mixed number?
3. How do you subtract fractions when the denominators are different?
4. What are some tips for simplifying fractions after performing operations?
5. How would you add \( 4 + \frac{4}{7} \) instead of subtracting?

**Tip:** Always express whole numbers as fractions (with denominator 1) when performing operations involving fractions.

Learn how to simplify the expression 4 - 4/7 by finding the least common denominator (LCD) and performing the subtraction step-by-step. This problem focuses on subtracting fractions and simplifying the result. Suitable for students in Grades 6-8.

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