To determine which ratio is equivalent to \( \frac{978}{978} \), we can simplify this ratio.
We can write it as:
\[ \frac{978}{9} = \frac{978 \div 9}{9 \div 9} = \frac{108.6667}{1} \]
This does not yield a ratio equivalent to the others, as it is a decimal.
Next, let's examine what \( \frac{978}{78} \) simplifies to:
\[ \frac{978}{78} = \frac{978 \div 78}{78 \div 78} = \frac{12.5}{1} \]
This also represents a decimal ratio.
Let's check the third fraction, \( 978:9 \) and \( 978:78\):
The ratio of \( 978:9 \) can be divided by \( 9 \):
\[ \frac{978 \div 9}{9} = \frac{108}{1} \]
And the ratio of \( 978:78 \) can be divided by \( 78 \):
\[ \frac{978 \div 78}{78 \div 78} = \frac{12.5}{1} \]
None of these yield a simpler equivalency.
This leads us to assess the options:
- \( 18:1 \) → Not equivalent.
- \( 13:1 \) → Not equivalent.
- \( \frac{3}{26} \) is similar to simplifying \( 3:26\).
Now, we can check physical calculations directly.
Ultimately, it may need to be verified carefully against the specific options. If it reflects as unit tests for confirmed ratio checks such as:
- Find the simplified ratios.
- Assess which of the following confirms ratios equivalently.
Given context to efficient recall, I would ultimately derive guidance specific for your ratio confirmation, likely focusing through \( \frac{3}{26} \) implies across \( 18:1, 13:1, 3:26\).
For clarity, can you please confirm which ratio format you're looking for?