Convert 1 2/9 to a fraction.
Understand the Problem
The question is asking to convert the mixed number 1 2/9 into an improper fraction. To do this, we multiply the whole number by the denominator and add the numerator, placing the result over the original denominator.
Answer
The improper fraction is $\frac{11}{9}$.
Answer for screen readers
The improper fraction equivalent of the mixed number $1 \frac{2}{9}$ is $\frac{11}{9}$.
Steps to Solve
- Identify the whole number and fraction parts
The mixed number consists of a whole number and a fraction. Here, the whole number is 1 and the fraction is $\frac{2}{9}$.
- Convert the whole number to an improper fraction
Multiply the whole number (1) by the denominator (9):
$$ 1 \times 9 = 9 $$
- Add the numerator of the fraction to the product
Now, add the numerator (2) of the fraction to the product obtained above:
$$ 9 + 2 = 11 $$
- Place the result over the original denominator
Now, we take this result and place it over the original denominator (9):
$$ \frac{11}{9} $$
The improper fraction equivalent of the mixed number $1 \frac{2}{9}$ is $\frac{11}{9}$.
More Information
Converting mixed numbers to improper fractions makes calculations easier, especially when performing arithmetic operations like addition and subtraction with fractions.
Tips
- Forgetting to multiply the whole number by the denominator before adding the numerator.
- Misplacing the numerator and denominator when writing the improper fraction.
