Sure, let's convert the improper fraction [tex]\(\frac{48}{7}\)[/tex] into a mixed number. Here are the steps:
1. Divide the numerator by the denominator:
- Numerator = 48
- Denominator = 7
- Divide 48 by 7. The quotient represents the whole number part of the mixed number, and the remainder will be used for the fractional part.
48 divided by 7 gives a quotient of 6 with a remainder of 6.
2. Write down the whole number part:
- The quotient from the division is 6, so the whole number part of the mixed number is 6.
3. Determine the fractional part:
- The remainder from the division is 6. The fractional part is written as the remainder over the original denominator, [tex]\(\frac{6}{7}\)[/tex].
4. Combine the whole number and the fractional part:
- The mixed number is [tex]\(6 \frac{6}{7}\)[/tex].
Therefore, [tex]\(\frac{48}{7}\)[/tex] as a mixed number is [tex]\(6 \frac{6}{7}\)[/tex]. The numerator of the fractional part is 6.
So, the completed expression is:
[tex]\[
\frac{48}{7} = 6 \frac{6}{7}
\][/tex]
Thus, the numerator of the fractional part is [tex]\(\boxed{6}\)[/tex].
