To simplify the fraction [tex]\(\frac{4}{24}\)[/tex] to its lowest terms, follow these steps:
1. Identify the Greatest Common Divisor (GCD):
Find the greatest common divisor (GCD) of the numerator (4) and the denominator (24). The GCD is the largest positive integer that divides both numbers without leaving a remainder.
2. Simplify the Numerator and Denominator:
Divide both the numerator and the denominator by their GCD to simplify the fraction.
3. Perform the Division:
Using the values from above:
- Divide the numerator (4) by the GCD.
- Divide the denominator (24) by the GCD.
So, let's go through the steps involving our values:
- The GCD of 4 and 24 is 4.
- Divide the numerator by 4: [tex]\(4 \div 4 = 1\)[/tex].
- Divide the denominator by 4: [tex]\(24 \div 4 = 6\)[/tex].
Therefore, the fraction [tex]\(\frac{4}{24}\)[/tex] simplified to its lowest terms is:
[tex]\[
\frac{4}{24} = \frac{1}{6}
\][/tex]
So, [tex]\(\frac{4}{24}\)[/tex] simplifies to [tex]\(\frac{1}{6}\)[/tex].
