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To reduce the fraction \( \frac{21}{24} \) to its lowest terms, we need to find the greatest common divisor (GCD) of 21 and 24, and then divide both the numerator and the denominator by this GCD.

The factors of 21 are: \( 1, 3, 7, 21 \).
The factors of 24 are: \( 1, 2, 3, 4, 6, 8, 12, 24 \).

The GCD of 21 and 24 is 3.

Now, divide both the numerator and denominator by 3:
\[
\frac{21 \div 3}{24 \div 3} = \frac{7}{8}
\]

Thus, \( \frac{21}{24} \) simplified to its lowest terms is \( \frac{7}{8} \).

Do you want more details or have any questions?

Here are 5 related questions you might find interesting:
1. What is the process for finding the GCD of two numbers?
2. How can I reduce fractions without listing out all the factors?
3. Why do we need to simplify fractions to lowest terms?
4. What is the relationship between LCM (Least Common Multiple) and GCD?
5. How can improper fractions be simplified?

**Tip:** When simplifying fractions, always check for a common factor between the numerator and denominator to make the fraction easier to work with.

Learn how to simplify the fraction 21/24 by finding the greatest common divisor (GCD). The solution walks through the process of dividing both the numerator and the denominator by their GCD, 3, to reduce the fraction to 7/8. Suitable for students in Grades 4-6.

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