Reduce the following ration to its lowest terms: 110: 242: 242
110: 242: 242
To reduce this ratio to its lowest terms, we need to find the greatest common divisor (GCD) of the three numbers.
The prime factorization of 110 is 2 × 5 × 11.
The prime factorization of 242 is 2 × 11 × 11.
The common factors between 110 and 242 are 2 and 11.
The prime factorization of 242 is 2 × 11 × 11.
Therefore, the highest common factor is 2 × 11 = 22.
We can divide all three numbers by 22 to reduce the ratio:
110 ÷ 22 = 5
242 ÷ 22 = 11
242 ÷ 22 = 11
The reduced ratio is 5:11:11.