To simplify the fraction [tex]\(\frac{10}{50}\)[/tex] to its lowest terms, follow these steps:
1. Identify the numerator and the denominator of the fraction. In this case, the numerator is 10 and the denominator is 50.
2. Find the greatest common divisor (GCD) of the numerator and the denominator. The GCD is the largest number that divides both the numerator and the denominator without leaving a remainder. For 10 and 50, the GCD is 10.
3. Divide both the numerator and the denominator by their GCD.
- For the numerator: [tex]\( \frac{10}{10} = 1 \)[/tex]
- For the denominator: [tex]\( \frac{50}{10} = 5 \)[/tex]
4. Rewrite the fraction using the results from step 3:
[tex]\[
\frac{10}{50} = \frac{1}{5}
\][/tex]
So, [tex]\(\frac{10}{50}\)[/tex] simplified to its lowest terms is [tex]\(\frac{1}{5}\)[/tex].
Therefore,
[tex]\[
\frac{10}{50} = \frac{1}{5}
\][/tex]
The missing value in the simplified fraction is [tex]\(\boxed{5}\)[/tex].
