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Answer :
Sure! Let's solve this step-by-step.
We are given the improper fraction [tex]\(\frac{9}{2}\)[/tex] and need to express it as a mixed number.
1. Dividing to Find the Whole Number:
- Divide 9 by 2.
- The result is 4 with a remainder. So, the whole number part of the mixed number is 4.
2. Finding the Remainder:
- When dividing 9 by 2, the remainder is 1.
- This remainder becomes the numerator of the fractional part of the mixed number.
3. Constructing the Fractional Part:
- The denominator of the fractional part remains the same as the original fraction, which is 2.
- So, the fractional part is [tex]\(\frac{1}{2}\)[/tex].
4. Writing the Mixed Number:
- Combine the whole number and the fractional part to form the mixed number: [tex]\(4 \frac{1}{2}\)[/tex].
Now let's check Pete's answer, [tex]\(3 \frac{3}{2}\)[/tex]:
- The fractional part [tex]\(\frac{3}{2}\)[/tex] is greater than 1, which is not correct for a proper mixed number format. In a mixed number, the fractional part should always be less than 1.
Hence, Pete's answer, [tex]\(3 \frac{3}{2}\)[/tex], is incorrect because [tex]\(\frac{3}{2}\)[/tex] is a fraction greater than 1. The correct mixed number is [tex]\(4 \frac{1}{2}\)[/tex].
We are given the improper fraction [tex]\(\frac{9}{2}\)[/tex] and need to express it as a mixed number.
1. Dividing to Find the Whole Number:
- Divide 9 by 2.
- The result is 4 with a remainder. So, the whole number part of the mixed number is 4.
2. Finding the Remainder:
- When dividing 9 by 2, the remainder is 1.
- This remainder becomes the numerator of the fractional part of the mixed number.
3. Constructing the Fractional Part:
- The denominator of the fractional part remains the same as the original fraction, which is 2.
- So, the fractional part is [tex]\(\frac{1}{2}\)[/tex].
4. Writing the Mixed Number:
- Combine the whole number and the fractional part to form the mixed number: [tex]\(4 \frac{1}{2}\)[/tex].
Now let's check Pete's answer, [tex]\(3 \frac{3}{2}\)[/tex]:
- The fractional part [tex]\(\frac{3}{2}\)[/tex] is greater than 1, which is not correct for a proper mixed number format. In a mixed number, the fractional part should always be less than 1.
Hence, Pete's answer, [tex]\(3 \frac{3}{2}\)[/tex], is incorrect because [tex]\(\frac{3}{2}\)[/tex] is a fraction greater than 1. The correct mixed number is [tex]\(4 \frac{1}{2}\)[/tex].
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