4 5/9 as an improper fraction
Understand the Problem
The question is asking how to convert the mixed number 4 5/9 into an improper fraction. To do this, we will multiply the whole number (4) by the denominator (9) and add the numerator (5), placing the result over the original denominator (9).
Answer
$\frac{41}{9}$
Answer for screen readers
The improper fraction for the mixed number $4 \frac{5}{9}$ is $\frac{41}{9}$.
Steps to Solve
- Multiply the whole number by the denominator
First, we take the whole number part of the mixed number, which is 4, and multiply it by the denominator, which is 9:
$$ 4 \times 9 = 36 $$
- Add the numerator to the result
Next, we add the numerator (5) to the result obtained in the previous step:
$$ 36 + 5 = 41 $$
- Write the result as an improper fraction
Now, we place the result from the previous step over the original denominator (9) to get the improper fraction:
$$ \frac{41}{9} $$
The improper fraction for the mixed number $4 \frac{5}{9}$ is $\frac{41}{9}$.
More Information
Converting a mixed number into an improper fraction is a common practice in mathematics that makes it easier to perform arithmetic operations like addition or subtraction. This method works for any mixed number, not just this one.
Tips
- Forgetting to multiply the whole number by the denominator, which leads to an incorrect numerator in the improper fraction.
- Incorrectly adding the numerator to the product of the whole number and denominator, resulting in the wrong value.
