To convert the mixed number 5 8/9 into an improper fraction, we first need to understand what a mixed number consists of. A mixed number has a whole part and a fractional part. In this case, 5 is the whole number and 8/9 is the fraction.
To convert this to an improper fraction, we follow these steps:
- Multiply the whole number (5) by the denominator of the fraction (9): 5 × 9 = 45.
- Add the result to the numerator of the fraction (8): 45 + 8 = 53.
- Place this sum over the original denominator (9): 53/9.
Therefore, the mixed number 5 8/9 can be expressed as the improper fraction 53/9.