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Answer :
To convert the improper fraction [tex]\(\frac{25}{4}\)[/tex] into a mixed number, follow these steps:
1. Divide the numerator by the denominator:
Divide 25 by 4 to find out how many whole times 4 can be taken out of 25, which is the integer or whole number part of the mixed number.
2. Calculate the whole number part:
25 divided by 4 is 6 with a remainder. This means the whole number part of the mixed number is 6.
3. Find the remainder:
After dividing, you have a remainder of 25 - (4 * 6) = 1. This remainder represents the numerator of the fractional part of the mixed number.
4. Write the mixed number:
Combine the whole number part with the fractional part. So, the fractional part is [tex]\(\frac{1}{4}\)[/tex], making the mixed number [tex]\(6 \frac{1}{4}\)[/tex].
Therefore, the mixed number equivalent to the improper fraction [tex]\(\frac{25}{4}\)[/tex] is [tex]\(6 \frac{1}{4}\)[/tex].
The correct answer is:
D. [tex]\(6 \frac{1}{4}\)[/tex]
1. Divide the numerator by the denominator:
Divide 25 by 4 to find out how many whole times 4 can be taken out of 25, which is the integer or whole number part of the mixed number.
2. Calculate the whole number part:
25 divided by 4 is 6 with a remainder. This means the whole number part of the mixed number is 6.
3. Find the remainder:
After dividing, you have a remainder of 25 - (4 * 6) = 1. This remainder represents the numerator of the fractional part of the mixed number.
4. Write the mixed number:
Combine the whole number part with the fractional part. So, the fractional part is [tex]\(\frac{1}{4}\)[/tex], making the mixed number [tex]\(6 \frac{1}{4}\)[/tex].
Therefore, the mixed number equivalent to the improper fraction [tex]\(\frac{25}{4}\)[/tex] is [tex]\(6 \frac{1}{4}\)[/tex].
The correct answer is:
D. [tex]\(6 \frac{1}{4}\)[/tex]
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