To convert the improper fraction [tex]\(\frac{46}{7}\)[/tex] to a mixed fraction, follow these steps:
1. Divide the numerator by the denominator:
- When you divide 46 by 7, you get a quotient, which represents the integer part of the mixed fraction. In this case, the quotient is 6.
2. Determine the remainder:
- The remainder is what is left after subtracting the product of the divisor (7) and the integer part (6) from the numerator (46). In this case, the remainder is 4.
3. Write the mixed fraction:
- The mixed fraction is composed of the integer part, the remainder, and the original denominator. Therefore, the mixed fraction is [tex]\(6 \frac{4}{7}\)[/tex].
Thus, the improper fraction [tex]\(\frac{46}{7}\)[/tex] converted to a mixed fraction is [tex]\(6 \frac{4}{7}\)[/tex].
