Question

Which ratio is equivalent to 978
9
78
?(1 point)
Responses

18
1
8
Start Fraction 1 over 8 End Fraction

13
1
3
Start Fraction 1 over 3 End Fraction

326
3
26
Start Fraction 3 over 26 End Fraction

318 ...

Answer 1

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:

1. \( 18:1 \) → *Not equivalent*.
2. \( 13:1 \) → *Not equivalent*.
3. \( \frac{3}{26} \) 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?