Answer :
To simplify the fraction [tex]\(\frac{20}{50}\)[/tex] to its lowest terms, follow these steps:
1. Find the Greatest Common Divisor (GCD):
First, determine the greatest common divisor of the numerator (20) and the denominator (50). The GCD is the largest number that can evenly divide both 20 and 50. The GCD of 20 and 50 is 10.
2. Divide Both Numerator and Denominator by the GCD:
Next, divide both the numerator and the denominator by their GCD (10) to simplify the fraction.
- Divide the numerator: [tex]\( \frac{20}{10} = 2 \)[/tex].
- Divide the denominator: [tex]\( \frac{50}{10} = 5 \)[/tex].
3. Simplified Fraction:
The fraction [tex]\(\frac{20}{50}\)[/tex] simplifies to [tex]\(\frac{2}{5}\)[/tex].
Thus, the simplified form of [tex]\(\frac{20}{50}\)[/tex] is [tex]\(\frac{2}{5}\)[/tex].
1. Find the Greatest Common Divisor (GCD):
First, determine the greatest common divisor of the numerator (20) and the denominator (50). The GCD is the largest number that can evenly divide both 20 and 50. The GCD of 20 and 50 is 10.
2. Divide Both Numerator and Denominator by the GCD:
Next, divide both the numerator and the denominator by their GCD (10) to simplify the fraction.
- Divide the numerator: [tex]\( \frac{20}{10} = 2 \)[/tex].
- Divide the denominator: [tex]\( \frac{50}{10} = 5 \)[/tex].
3. Simplified Fraction:
The fraction [tex]\(\frac{20}{50}\)[/tex] simplifies to [tex]\(\frac{2}{5}\)[/tex].
Thus, the simplified form of [tex]\(\frac{20}{50}\)[/tex] is [tex]\(\frac{2}{5}\)[/tex].
