To convert the improper fraction [tex]\(\frac{25}{7}\)[/tex] to a mixed number, follow these steps:
1. Divide the numerator by the denominator:
[tex]\(\frac{25}{7}\)[/tex]. When you divide 25 by 7, you get 3 as the integer part of the division (because [tex]\(7 \times 3 = 21\)[/tex] is the highest multiple of 7 that is less than or equal to 25).
2. Determine the remainder:
After subtracting [tex]\(21\)[/tex] from [tex]\(25\)[/tex], you are left with a remainder of 4 (i.e., [tex]\(25 - 21 = 4\)[/tex]).
3. Write the mixed number:
The quotient from the division is the integer part of the mixed number, and the remainder is the numerator of the fractional part, with the original denominator remaining the same.
Therefore, the improper fraction [tex]\(\frac{25}{7}\)[/tex] can be written as the mixed number [tex]\(3 \frac{4}{7}\)[/tex]. This mixed number is composed of the integer part 3, and the fractional part [tex]\(\frac{4}{7}\)[/tex].
