Convert 44/9 to a mixed number.
Understand the Problem
The question is asking to convert the improper fraction 44/9 into a mixed number. To do this, we will divide the numerator (44) by the denominator (9) to find the whole number part and the remainder to express the fractional part.
Answer
$ 4 \frac{8}{9} $
Answer for screen readers
The mixed number for the improper fraction $ \frac{44}{9} $ is $ 4 \frac{8}{9} $.
Steps to Solve
- Divide the numerator by the denominator
To convert the improper fraction into a mixed number, divide the numerator (44) by the denominator (9).
$$ 44 \div 9 = 4 \quad \text{(which is the whole number part)} $$
- Find the remainder
Next, calculate the remainder of the division to express the fractional part.
$$ 44 \mod 9 = 8 \quad \text{(this is the remainder)} $$
- Form the mixed number
Combine the whole number part and the fractional part to express the answer as a mixed number.
The mixed number is written as:
$$ 4 \frac{8}{9} $$
The mixed number for the improper fraction $ \frac{44}{9} $ is $ 4 \frac{8}{9} $.
More Information
When converting improper fractions to mixed numbers, it's useful to remember that the mixed number consists of a whole number and a proper fraction. In this case, $ \frac{44}{9} $ is greater than 4 but less than 5, leading to a mixed number of $ 4 \frac{8}{9} $.
Tips
- Forgetting to include the remainder when stating the fractional part.
- Confusing the remainder with the whole number and leading to an incorrect mixed number format.
