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Answer :
To convert the improper fraction [tex]\(\frac{25}{4}\)[/tex] to a mixed number, follow these steps:
1. Divide the numerator by the denominator: Divide 25 by 4. When you do this, 4 goes into 25 a total of 6 times (because [tex]\(4 \times 6 = 24\)[/tex]). This gives us the whole number part of the mixed number.
2. Find the remainder: After dividing, the remainder is the part of the numerator that isn’t fully divisible by the denominator. In this case, 25 minus 24 leaves a remainder of 1.
3. Express the remainder as a fraction: The remainder becomes the numerator of the fractional part of the mixed number. So, the fraction part will be [tex]\(\frac{1}{4}\)[/tex].
Putting it all together, the mixed number equivalent to the improper fraction [tex]\(\frac{25}{4}\)[/tex] is [tex]\(6 \frac{1}{4}\)[/tex].
Therefore, the correct answer is option B: [tex]\(6 \frac{1}{4}\)[/tex].
1. Divide the numerator by the denominator: Divide 25 by 4. When you do this, 4 goes into 25 a total of 6 times (because [tex]\(4 \times 6 = 24\)[/tex]). This gives us the whole number part of the mixed number.
2. Find the remainder: After dividing, the remainder is the part of the numerator that isn’t fully divisible by the denominator. In this case, 25 minus 24 leaves a remainder of 1.
3. Express the remainder as a fraction: The remainder becomes the numerator of the fractional part of the mixed number. So, the fraction part will be [tex]\(\frac{1}{4}\)[/tex].
Putting it all together, the mixed number equivalent to the improper fraction [tex]\(\frac{25}{4}\)[/tex] is [tex]\(6 \frac{1}{4}\)[/tex].
Therefore, the correct answer is option B: [tex]\(6 \frac{1}{4}\)[/tex].
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