To determine the type of fraction [tex]\(\frac{64}{72}\)[/tex] given the options:
1. Proper Fraction:
A fraction [tex]\(\frac{a}{b}\)[/tex] is considered a proper fraction if the numerator [tex]\(a\)[/tex] is less than the denominator [tex]\(b\)[/tex].
2. Improper Fraction:
A fraction [tex]\(\frac{a}{b}\)[/tex] is considered an improper fraction if the numerator [tex]\(a\)[/tex] is greater than or equal to the denominator [tex]\(b\)[/tex].
3. Mixed Number:
A mixed number is a number that contains both an integer and a fraction, usually derived from an improper fraction.
4. None of the above:
This option is for cases where none of the provided definitions apply.
Given the fraction [tex]\(\frac{64}{72}\)[/tex]:
- The numerator is 64.
- The denominator is 72.
To verify:
- Since 64 is less than 72, [tex]\(\frac{64}{72}\)[/tex] is a proper fraction.
Therefore, the fraction [tex]\(\frac{64}{72}\)[/tex] is a
b. proper fraction.
