To express the ratio 8 minutes to 104 minutes as a fraction in the lowest terms, follow these steps:
1. Write down the ratio as a fraction.
\( \frac{8}{104} \)
2. Identify the greatest common divisor (GCD) of both the numerator and the denominator. The GCD is the largest number that divides both of these numbers without leaving a remainder.
To find the GCD of 8 and 104, list the factors of each number and find the largest common factor they share:
- Factors of 8: 1, 2, 4, 8
- Factors of 104: 1, 2, 4, 8, 13, 26, 52, 104
Both numbers share the factors 1, 2, 4, and 8. The largest of these is 8.
So, the GCD of 8 and 104 is 8.
3. Divide both the numerator and the denominator by the GCD to reduce the fraction to its lowest terms.
\( \frac{8 \div 8}{104 \div 8} \)
\( \frac{1}{13} \)
4. The fraction in the lowest terms that represents the ratio of 8 minutes to 104 minutes is \( \frac{1}{13} \).
