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[tex]\frac{11}{21}[/tex]

Sagot :

To simplify the fraction [tex]\(\frac{11}{21}\)[/tex], you need to find the greatest common divisor (GCD) of the numerator and the denominator.

Here are the steps:

1. Identify the numerator and denominator:
- The numerator is 11.
- The denominator is 21.

2. Find the GCD of 11 and 21:
- The GCD of two numbers is the largest number that divides both of them without leaving a remainder.
- Upon examining 11 and 21, we see that 11 is a prime number, and it doesn't divide 21.
- Therefore, the GCD of 11 and 21 is 1.

3. Simplify the fraction:
- To simplify the fraction, divide both the numerator and the denominator by their GCD.
- Thus, we divide 11 by 1 and 21 by 1.

[tex]\[ \frac{11 \div 1}{21 \div 1} = \frac{11}{21} \][/tex]

4. Conclusion:
- The fraction [tex]\(\frac{11}{21}\)[/tex] is already in its simplest form because the numerator and the denominator have no common factors other than 1.

Hence, the simplified form of the fraction [tex]\(\frac{11}{21}\)[/tex] is [tex]\(\frac{11}{21}\)[/tex], and the GCD of 11 and 21 is 1.
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