Which ratio is equivalent to 9/78 ?

Answer 1

To find a ratio equivalent to \( \frac{9}{78} \), we can simplify the fraction by finding the greatest common divisor (GCD) of 9 and 78.

1. The factors of 9 are \( 1, 3, 9 \).
2. The factors of 78 are \( 1, 2, 3, 6, 13, 26, 39, 78 \).
3. The greatest common divisor (GCD) is 3.

Now, divide both the numerator and the denominator by the GCD:

\[ \frac{9 \div 3}{78 \div 3} = \frac{3}{26} \]

So, an equivalent ratio to \( \frac{9}{78} \) is \( \frac{3}{26} \).