To find an equivalent ratio to \( \frac{9}{78} \), we can simplify it by dividing both the numerator and the denominator by their greatest common divisor (GCD).
The GCD of \( 9 \) and \( 78 \) is \( 9 \).
Now, divide both the numerator and denominator by \( 9 \):
\[ \frac{9 \div 9}{78 \div 9} = \frac{1}{8.6667} \]
However, since we're looking for an option presented, let’s simplify \( \frac{9}{78} \) step by step:
- First, note that \( 78 = 9 \times 8.6667 \) could help deduce a ratio.
- Alternatively, we can reduce this by factoring another common divisor (in simpler terms): \[ \text{From } \frac{9}{78}, divide both by 3, \frac{9 \div 3}{78 \div 3} = \frac{3}{26} \]
So, the equivalent ratio of \( \frac{9}{78} \) is \( \frac{3}{26} \).
The correct answer is:
A: \( \frac{3}{26} \)
1 answer