What is the improper fraction of the mixed number 6 5/8?

• A. 51/8
• B. 53/8
• C. 6/8
• D. 57/8

Answer: (B)

To convert the mixed number 6 5/8 into an improper fraction, follow these steps:

1. Multiply the whole number (6) by the denominator (8). This gives you 6 * 8 = 48.

2. Add the numerator (5) to this product. So, 48 + 5 = 53.

3. Write this sum over the original denominator (8), resulting in the improper fraction 53/8.

This process shows how the mixed number is represented as a single fraction, where the numerator reflects the total number of eighths represented by both the whole number and the fractional part.

Therefore, the improper fraction of the mixed number 6 5/8 is indeed 53/8.