To reduce the fraction [tex]\(\frac{4}{18}\)[/tex] to its lowest terms, follow these detailed steps:
1. Identify the numerator and the denominator:
- Numerator: [tex]\(4\)[/tex]
- Denominator: [tex]\(18\)[/tex]
2. Find the Greatest Common Divisor (GCD) of the numerator and the denominator:
- The GCD of [tex]\(4\)[/tex] and [tex]\(18\)[/tex] is [tex]\(2\)[/tex].
3. Divide both the numerator and the denominator by their GCD to reduce the fraction:
- Reduced Numerator: [tex]\(\frac{4}{2} = 2\)[/tex]
- Reduced Denominator: [tex]\(\frac{18}{2} = 9\)[/tex]
4. Write the fraction in its simplest form:
- The fraction [tex]\(\frac{4}{18}\)[/tex] simplifies to [tex]\(\frac{2}{9}\)[/tex].
Therefore, the fraction [tex]\(\frac{4}{18}\)[/tex] reduced to its lowest terms is [tex]\(\frac{2}{9}\)[/tex].
