Convert 44/5 into a mixed number.
Understand the Problem
The question is asking how to convert the improper fraction 44/5 into a mixed number. This involves dividing the numerator by the denominator to find the whole number and the remainder, which will form the fractional part.
Answer
$ 8 \frac{4}{5} $
Answer for screen readers
The mixed number equivalent of $ \frac{44}{5} $ is $ 8 \frac{4}{5} $.
Steps to Solve
- Divide the numerator by the denominator
To convert the improper fraction $ \frac{44}{5} $ into a mixed number, divide the numerator (44) by the denominator (5).
$$ 44 \div 5 = 8 \quad \text{(whole number)} $$
The whole number is 8.
- Find the remainder
Next, calculate the remainder of this division to find the fractional part.
$$ 44 - (5 \times 8) = 44 - 40 = 4 $$
The remainder is 4.
- Write the mixed number
Now that we have the whole number and the remainder, we can express the mixed number. The remainder becomes the new numerator, and the denominator remains the same.
The mixed number is:
$$ 8 \frac{4}{5} $$
The mixed number equivalent of $ \frac{44}{5} $ is $ 8 \frac{4}{5} $.
More Information
Converting improper fractions to mixed numbers helps in visualizing quantities that are greater than one, especially in real-life situations like cooking and measuring.
Tips
- Forgetting to find the remainder and mistakenly treating the quotient as the entire mixed number without including the fractional part.
- Not properly reducing the mixed number if unnecessary.
