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Identify the fraction as proper, improper, or mixed.

[tex]\[ 4 \frac{3}{4} \][/tex]

[tex]\[ \square \][/tex]

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GinnyAnsweridn
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.
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