Answer :
To simplify the fraction [tex]\(\frac{20}{50}\)[/tex], we need to find the greatest common divisor (GCD) of the numerator and the denominator and then divide both by this number.
1. Identify the GCD of 20 and 50:
- List the factors of 20: [tex]\(1, 2, 4, 5, 10, 20\)[/tex]
- List the factors of 50: [tex]\(1, 2, 5, 10, 25, 50\)[/tex]
- The common factors of 20 and 50 are [tex]\(1, 2, 5, 10\)[/tex].
- The greatest common factor is 10.
2. Divide both the numerator and the denominator by their GCD:
- Divide 20 by 10: [tex]\(\frac{20}{10} = 2\)[/tex]
- Divide 50 by 10: [tex]\(\frac{50}{10} = 5\)[/tex]
So, the simplified form of [tex]\(\frac{20}{50}\)[/tex] is [tex]\(\frac{2}{5}\)[/tex].
Thus, [tex]\(\frac{20}{50}\)[/tex] simplifies to [tex]\(\frac{2}{5}\)[/tex].
1. Identify the GCD of 20 and 50:
- List the factors of 20: [tex]\(1, 2, 4, 5, 10, 20\)[/tex]
- List the factors of 50: [tex]\(1, 2, 5, 10, 25, 50\)[/tex]
- The common factors of 20 and 50 are [tex]\(1, 2, 5, 10\)[/tex].
- The greatest common factor is 10.
2. Divide both the numerator and the denominator by their GCD:
- Divide 20 by 10: [tex]\(\frac{20}{10} = 2\)[/tex]
- Divide 50 by 10: [tex]\(\frac{50}{10} = 5\)[/tex]
So, the simplified form of [tex]\(\frac{20}{50}\)[/tex] is [tex]\(\frac{2}{5}\)[/tex].
Thus, [tex]\(\frac{20}{50}\)[/tex] simplifies to [tex]\(\frac{2}{5}\)[/tex].
