Answer :
Certainly! Let's simplify the fraction [tex]\( \frac{18}{20} \)[/tex].
1. Identify the Greatest Common Divisor (GCD):
- The greatest common divisor (GCD) of 18 and 20 is the largest number that divides both 18 and 20 without leaving a remainder.
2. Find the GCD:
- The factors of 18 are: 1, 2, 3, 6, 9, and 18.
- The factors of 20 are: 1, 2, 4, 5, 10, and 20.
- The common factors of 18 and 20 are: 1 and 2.
- Therefore, the greatest common divisor of 18 and 20 is 2.
3. Simplify the Fraction:
- Divide both the numerator and the denominator by their GCD (which is 2):
[tex]\[
\frac{18 \div 2}{20 \div 2} = \frac{9}{10}
\][/tex]
4. Result:
- The simplified form of the fraction [tex]\( \frac{18}{20} \)[/tex] is [tex]\( \frac{9}{10} \)[/tex].
Thus, the simplified fraction is [tex]\( \frac{9}{10} \)[/tex].
1. Identify the Greatest Common Divisor (GCD):
- The greatest common divisor (GCD) of 18 and 20 is the largest number that divides both 18 and 20 without leaving a remainder.
2. Find the GCD:
- The factors of 18 are: 1, 2, 3, 6, 9, and 18.
- The factors of 20 are: 1, 2, 4, 5, 10, and 20.
- The common factors of 18 and 20 are: 1 and 2.
- Therefore, the greatest common divisor of 18 and 20 is 2.
3. Simplify the Fraction:
- Divide both the numerator and the denominator by their GCD (which is 2):
[tex]\[
\frac{18 \div 2}{20 \div 2} = \frac{9}{10}
\][/tex]
4. Result:
- The simplified form of the fraction [tex]\( \frac{18}{20} \)[/tex] is [tex]\( \frac{9}{10} \)[/tex].
Thus, the simplified fraction is [tex]\( \frac{9}{10} \)[/tex].
