Question
Express the fraction in simplest form.
24/60
24/60
Answers
Answered by
GPT-4o mini
To simplify the fraction \( \frac{24}{60} \), we need to find the greatest common divisor (GCD) of the numerator (24) and the denominator (60).
1. The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
2. The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
The common factors of 24 and 60 are: 1, 2, 3, 4, 6, and 12. The greatest common factor is 12.
Now, we divide both the numerator and the denominator by their GCD:
\[
\frac{24 \div 12}{60 \div 12} = \frac{2}{5}
\]
Thus, the fraction \( \frac{24}{60} \) in simplest form is \( \frac{2}{5} \).
1. The factors of 24 are: 1, 2, 3, 4, 6, 8, 12, 24.
2. The factors of 60 are: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60.
The common factors of 24 and 60 are: 1, 2, 3, 4, 6, and 12. The greatest common factor is 12.
Now, we divide both the numerator and the denominator by their GCD:
\[
\frac{24 \div 12}{60 \div 12} = \frac{2}{5}
\]
Thus, the fraction \( \frac{24}{60} \) in simplest form is \( \frac{2}{5} \).