To determine the fractions that are equivalent to \( 3040 \), we need to express this whole number as a fraction and simplify each given fraction to see if they are equal.
We can express \( 3040 \) as a fraction: \[ \frac{3040}{1} \]
Now let's simplify each of the provided fractions:
-
\( \frac{5}{10} \):
- Simplified, \( \frac{5}{10} = \frac{1}{2} \)
-
\( \frac{5}{8} \):
- This fraction is already in its simplest form.
-
\( \frac{3}{4} \):
- This fraction is already in its simplest form.
-
\( \frac{12}{15} \):
- Simplified, \( \frac{12}{15} = \frac{4}{5} \)
-
\( \frac{68}{1} \):
- This is just \( 68 \), which is not equivalent to \( 3040 \).
Now, let’s examine further fractions numerically and see if they simplify similarly.
To find equivalents of \( 3040 \), we can see if we can express the numerator proportionally to \( 3040 \):
- \( \frac{68}{1} \) needs to be checked as fraction: \[ 3040 = 68x \Rightarrow x = \frac{3040}{68} \] \[ 68 \cdot 44.705 = 3040 \] So indeed, \( \frac{68}{1} \) is equivalent when we multiply.
Since \( \frac{5}{10} \), \( \frac{5}{8} \), \( \frac{3}{4} \), and \( \frac{12}{15} \) do not simplify to whole number parts equivalent as \( 3040 \), they are the only candidates.
Final valid equivalent to \( 3040 \):
- None of them can multiply proportionally to give the right whole number representation of \( 3040 \) based on simplified fractions.
In conclusion, only \( \frac{68}{1} \) equates through multiplication, while the rest do not give equivalent representations of whole \( 3040 \).
Thus, the only fraction here that is equivalent to \( 3040 \) is:
- 68
Let me know if you need more help!