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Solve the problem in the image with step by step explanations

To solve the problem of finding the difference between \(4 \frac{5}{8} - 1 \frac{3}{4}\), let's follow these steps:

1. **Convert the mixed numbers to improper fractions:**

   \(4 \frac{5}{8}\):
   \[
   4 \frac{5}{8} = \frac{4 \times 8 + 5}{8} = \frac{32 + 5}{8} = \frac{37}{8}
   \]

   \(1 \frac{3}{4}\):
   \[
   1 \frac{3}{4} = \frac{1 \times 4 + 3}{4} = \frac{4 + 3}{4} = \frac{7}{4}
   \]

2. **Find a common denominator to subtract the fractions:**

   The denominators are 8 and 4. The least common multiple of 8 and 4 is 8. Convert \(\frac{7}{4}\) to a fraction with a denominator of 8:
   \[
   \frac{7}{4} = \frac{7 \times 2}{4 \times 2} = \frac{14}{8}
   \]

3. **Subtract the fractions:**

   \[
   \frac{37}{8} - \frac{14}{8} = \frac{37 - 14}{8} = \frac{23}{8}
   \]

4. **Convert the improper fraction back to a mixed number:**

   \[
   \frac{23}{8} = 2 \frac{7}{8}
   \]

Thus, the difference between \(4 \frac{5}{8}\) and \(1 \frac{3}{4}\) is \(2 \frac{7}{8}\).

The correct answer is **C. \(2 \frac{7}{8}\)**.

Would you like any more details or have any questions?

Here are 5 questions you can ask next:
1. How do you simplify complex fractions?
2. What are the steps to solve quadratic equations?
3. Can you explain the Pythagorean theorem with an example?
4. How do you find the derivative of a polynomial function?
5. What is the method to solve a system of linear equations using matrices?

**Tip:** Always ensure to convert mixed numbers to improper fractions before performing addition or subtraction to simplify calculations.

Learn how to find the difference between 4 5/8 and 1 3/4 with a detailed step-by-step solution. This problem involves converting mixed numbers to improper fractions, finding a common denominator, subtracting fractions, and converting the result back to a mixed number. Suitable for students in Grades 5-7.

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