9/2 in simplest form
Understand the Problem
The question is asking for the simplest form of the fraction 9/2. To solve this, we need to express the fraction in its simplest terms, which often involves simplifying the numerator and denominator if applicable. In this case, since both 9 and 2 do not have any common factors other than 1, the answer would be expressing it as a mixed number.
Answer
$4 \frac{1}{2}$
Answer for screen readers
The simplest form of the fraction $\frac{9}{2}$ as a mixed number is $4 \frac{1}{2}$.
Steps to Solve
- Identify the Whole Number
To simplify the fraction $ \frac{9}{2} $, we begin by identifying how many times the denominator (2) fits into the numerator (9).
$$ 9 \div 2 = 4 \quad \text{(This means 2 fits into 9 four times)} $$
This gives us a whole number of 4.
- Find the Remainder
Next, we find the remainder after dividing the numerator by the denominator.
$$ 9 - (2 \times 4) = 9 - 8 = 1 $$
The remainder is 1.
- Form the Mixed Number
Now we can express the fraction as a mixed number. The mixed number consists of the whole number part, the remainder, and the denominator.
The mixed number is given by:
$$ 4 \frac{1}{2} $$
This means the fraction $ \frac{9}{2} $ can be expressed as the mixed number 4 and $\frac{1}{2}$.
The simplest form of the fraction $\frac{9}{2}$ as a mixed number is $4 \frac{1}{2}$.
More Information
The fraction $\frac{9}{2}$ represents 9 halves, which means if you were to divide 9 items into groups of 2, you would have 4 complete groups with 1 item left over. Mixed numbers are often easier to understand in practical situations, such as in cooking or measuring.
Tips
- Forgetting to calculate the remainder correctly.
- Not expressing the mixed number in the proper format (whole number followed by the fractional part).
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