Which of the following is an example of an improper fraction?

A) [tex] \frac{10}{3} [/tex]

B) [tex] \frac{3}{10} [/tex]

C) [tex] \frac{4}{5} [/tex]

D) [tex] \frac{6}{7} [/tex]



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].