What is 9/4 as a mixed number?
Understand the Problem
The question is asking how to convert the improper fraction 9/4 into a mixed number. To solve this, we will divide the numerator by the denominator to find the whole number part and then express any remainder as a fraction.
Answer
$ 2 \frac{1}{4} $
Answer for screen readers
The mixed number is $ 2 \frac{1}{4} $.
Steps to Solve
- Divide the numerator by the denominator
To convert the improper fraction $ \frac{9}{4} $ into a mixed number, we first perform the division of the numerator (9) by the denominator (4).
$$ 9 \div 4 = 2 $$
Here, 2 is the whole number part.
- Find the remainder
Next, we need to find the remainder from the division. The remainder can be calculated as follows:
$$ 9 - (4 \times 2) = 9 - 8 = 1 $$
So, the remainder is 1.
- Write as a mixed number
Now, we can write the mixed number. The whole number part is 2 and the remainder is 1, which we will write as a fraction over the original denominator (4).
Therefore, the mixed number is:
$$ 2 \frac{1}{4} $$
The mixed number is $ 2 \frac{1}{4} $.
More Information
Converting improper fractions to mixed numbers helps in understanding the value better, by expressing it in an alternative and often more intuitive form. Mixed numbers are commonly used in everyday activities such as cooking and construction, where whole parts and fractions are frequently involved.
Tips
- Forgetting to use the remainder when forming the mixed number.
- Miscalculating the remainder by not properly multiplying the whole number part back by the denominator.