The ratio 78:18 can be simplified. To do this, you can divide both numbers by their greatest common divisor (GCD).
First, find the GCD of 78 and 18.
The prime factorization of 78 is: \( 78 = 2 \times 3 \times 13 \)
The prime factorization of 18 is: \( 18 = 2 \times 3^2 \)
The common factors are \( 2 \) and \( 3 \). Therefore, the GCD is \( 2 \times 3 = 6 \).
Now, divide both numbers by their GCD:
- \( 78 ÷ 6 = 13 \)
- \( 18 ÷ 6 = 3 \)
Thus, the simplified ratio is: 13:3.