Convert 19/9 as a mixed number.
Understand the Problem
The question is asking how to convert the improper fraction 19/9 into a mixed number. To solve it, we need to divide the numerator by the denominator to find the whole number part and then determine the remainder to express it as a fraction.
Answer
$2 \frac{1}{9}$
Answer for screen readers
The mixed number form of the improper fraction $\frac{19}{9}$ is $2 \frac{1}{9}$.
Steps to Solve
- Divide the numerator by the denominator
First, we need to divide the numerator (19) by the denominator (9) to find the whole number part.
$$ 19 \div 9 = 2 \quad \text{(Whole number part)} $$
- Find the remainder
Next, we calculate the remainder of the division. We can do this by multiplying the whole number part by the denominator and subtracting from the numerator.
$$ \text{Remainder} = 19 - (2 \times 9) = 19 - 18 = 1 $$
- Write the mixed number
Now that we have the whole number part (2) and the remainder (1), we can express the improper fraction as a mixed number:
$$ \text{Mixed Number} = 2 \frac{1}{9} $$
The mixed number form of the improper fraction $\frac{19}{9}$ is $2 \frac{1}{9}$.
More Information
Converting improper fractions to mixed numbers is a useful skill in fractions, allowing for easier understanding and use of the numbers in real-life situations, like measuring or sharing.
Tips
- Confusing the remainder with the whole number part.
- Forgetting to simplify the fractional part, although in this case $\frac{1}{9}$ is already in simplest form.