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Simplify the fraction [tex]\frac{18}{20}[/tex].

Answer :

To simplify the fraction [tex]\(\frac{18}{20}\)[/tex], we need to find the greatest common divisor (GCD) of 18 and 20. The GCD is the largest number that can divide both the numerator (18) and the denominator (20) without leaving a remainder.

1. Find the GCD of 18 and 20:
- The factors of 18 are: 1, 2, 3, 6, 9, 18
- The factors of 20 are: 1, 2, 4, 5, 10, 20
- The common factors of both numbers are: 1, 2
- The greatest common factor is 2.

2. Simplify the fraction:
- Divide both the numerator and the denominator by their GCD.
- The numerator becomes [tex]\(18 \div 2 = 9\)[/tex].
- The denominator becomes [tex]\(20 \div 2 = 10\)[/tex].

Therefore, the simplified form of the fraction [tex]\(\frac{18}{20}\)[/tex] is [tex]\(\frac{9}{10}\)[/tex].

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