To simplify \( \frac{12}{21} \), we find the greatest common divisor (GCD) of 12 and 21.

1. The factors of 12 are: 1, 2, 3, 4, 6, 12.
2. The factors of 21 are: 1, 3, 7, 21.

The greatest common divisor is 3. Now divide both the numerator and the denominator by 3:

\[
\frac{12}{21} = \frac{12 \div 3}{21 \div 3} = \frac{4}{7}
\]

So, \( \frac{12}{21} \) simplifies to \( \frac{4}{7} \).

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How do you find the GCD of two numbers?
2. What are some examples of other fractions that can be simplified?
3. How can you simplify improper fractions?
4. What is the simplest form of \( \frac{15}{25} \)?
5. How would you simplify \( \frac{18}{24} \)?

**Tip:** To simplify any fraction, always divide both the numerator and the denominator by their greatest common divisor (GCD).

Learn how to simplify the fraction 12/21 by finding the greatest common divisor (GCD). This step-by-step explanation is perfect for students in Grades 6-8 and covers key mathematical concepts like fraction simplification and the GCD.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation