To determine whether the given fraction [tex]\(4 \frac{3}{4}\)[/tex] is proper, improper, or mixed, let's break down the fraction.
1. A proper fraction is a fraction where the numerator (top number) is less than the denominator (bottom number).
2. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
3. A mixed fraction (or mixed number) combines a whole number and a proper fraction.
In the given fraction [tex]\(4 \frac{3}{4}\)[/tex]:
- The whole number part is [tex]\(4\)[/tex].
- The fraction part is [tex]\(\frac{3}{4}\)[/tex].
We see here that [tex]\(\frac{3}{4}\)[/tex] is a proper fraction because [tex]\(3\)[/tex] (the numerator) is less than [tex]\(4\)[/tex] (the denominator).
Thus, since this combines a whole number and a proper fraction, [tex]\(4 \frac{3}{4}\)[/tex] is classified as a mixed fraction.
Therefore, the given fraction [tex]\(4 \frac{3}{4}\)[/tex] is a mixed fraction.
