Answer :
To determine which of the following fractions is an improper fraction, we need to understand what an improper fraction is. An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).
Let's examine each option step-by-step to see if the numerator is greater than the denominator:
- Option A) [tex]\( \frac{10}{3} \)[/tex]:
- Numerator: 10
- Denominator: 3
- 10 is greater than 3. So, [tex]\( \frac{10}{3} \)[/tex] is an improper fraction.
- Option B) [tex]\( \frac{3}{10} \)[/tex]:
- Numerator: 3
- Denominator: 10
- 3 is less than 10. So, [tex]\( \frac{3}{10} \)[/tex] is not an improper fraction.
- Option C) [tex]\( \frac{4}{5} \)[/tex]:
- Numerator: 4
- Denominator: 5
- 4 is less than 5. So, [tex]\( \frac{4}{5} \)[/tex] is not an improper fraction.
- Option D) [tex]\( \frac{6}{7} \)[/tex]:
- Numerator: 6
- Denominator: 7
- 6 is less than 7. So, [tex]\( \frac{6}{7} \)[/tex] is not an improper fraction.
From the evaluations above, we see that the only improper fraction among the given options is:
Option A) [tex]\( \frac{10}{3} \)[/tex].
Let's examine each option step-by-step to see if the numerator is greater than the denominator:
- Option A) [tex]\( \frac{10}{3} \)[/tex]:
- Numerator: 10
- Denominator: 3
- 10 is greater than 3. So, [tex]\( \frac{10}{3} \)[/tex] is an improper fraction.
- Option B) [tex]\( \frac{3}{10} \)[/tex]:
- Numerator: 3
- Denominator: 10
- 3 is less than 10. So, [tex]\( \frac{3}{10} \)[/tex] is not an improper fraction.
- Option C) [tex]\( \frac{4}{5} \)[/tex]:
- Numerator: 4
- Denominator: 5
- 4 is less than 5. So, [tex]\( \frac{4}{5} \)[/tex] is not an improper fraction.
- Option D) [tex]\( \frac{6}{7} \)[/tex]:
- Numerator: 6
- Denominator: 7
- 6 is less than 7. So, [tex]\( \frac{6}{7} \)[/tex] is not an improper fraction.
From the evaluations above, we see that the only improper fraction among the given options is:
Option A) [tex]\( \frac{10}{3} \)[/tex].