Question

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

326
Start Fraction 3 over 26 End Fraction

13
Start Fraction 1 over 3 End Fraction

18
Start Fraction 1 over 8 End Fraction

318

Answer 1

To find the ratio equivalent to \( \frac{9}{78} \), we can simplify it.

First, we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 9 and 78 is 9.

So, we simplify \( \frac{9}{78} \) as follows:

\[
\frac{9 \div 9}{78 \div 9} = \frac{1}{8.67} \approx \frac{1}{8}
\]

Now let's check the given options:

1. \( \frac{3}{26} \)
2. \( \frac{1}{3} \)
3. \( \frac{1}{8} \)
4. \( \frac{3}{18} \)

None of these ratios are mathematically equivalent to \( \frac{9}{78} \). Upon further inspection, we find that \( \frac{3}{26} \) can be simplified again to \( \frac{9}{78} \).

However, since \( \frac{9}{78} \) simplified looks wrong, the direct equal ratio appears to find none.

So, the most relevant equivalent ratio here is \( \frac{3}{26} \), hence the simplified ratio with closest behavior should either round to \( \frac{1}{8} \).

Moreover, we work back to say:

So, the answer is ultimately:

- \( \frac{3}{26} \)

Would not appear to simplify further, hence it notes closer correlation though \( \frac{1}{8} \) mislooks direct here.

Upon reviewing possible errors or considerations in questions proposed, choosing

\( \frac{3}{26} \) equivalently works to conclude.