To simplify the fraction [tex]\(\frac{10}{50}\)[/tex], follow these steps:
1. Identify the GCD (Greatest Common Divisor):
- The GCD of 10 and 50 is the largest number that divides both 10 and 50 without leaving a remainder.
- The GCD of 10 and 50 is 10.
2. Divide both the numerator and the denominator by their GCD:
- [tex]\( \text{Numerator} = \frac{10}{10} = 1 \)[/tex]
- [tex]\( \text{Denominator} = \frac{50}{10} = 5 \)[/tex]
3. Write the simplified fraction:
- The simplified form of [tex]\(\frac{10}{50}\)[/tex] is [tex]\(\frac{1}{5}\)[/tex].
So, [tex]\(\frac{10}{50} = \frac{1}{5}\)[/tex] in simplest terms.
To summarize:
- The GCD of 10 and 50 is 10.
- Dividing both 10 and 50 by their GCD (10) results in the fraction [tex]\(\frac{1}{5}\)[/tex].
Therefore, the simplified fraction is [tex]\(\boxed{\frac{1}{5}}\)[/tex].
