Sure, let's solve this problem step by step.
1. Identify the fractions to be added:
[tex]\[
\frac{2}{12} + \frac{1}{12}
\][/tex]
2. Check if the denominators are the same:
In this case, both fractions have the same denominator of 12.
3. Add the numerators while keeping the denominator the same:
[tex]\[
\frac{2 + 1}{12} = \frac{3}{12}
\][/tex]
4. Simplify the resulting fraction:
Find the greatest common divisor (GCD) of the numerator and the denominator. The GCD of 3 and 12 is 3.
5. Divide both the numerator and the denominator by their GCD:
[tex]\[
\frac{3 \div 3}{12 \div 3} = \frac{1}{4}
\][/tex]
So, the final simplified form of the fraction [tex]\(\frac{2}{12} + \frac{1}{12}\)[/tex] is:
[tex]\[
\frac{1}{4}
\][/tex]
Therefore, [tex]\(\frac{2}{12} + \frac{1}{12} = \frac{3}{12}\)[/tex], which simplifies to [tex]\(\frac{1}{4}\)[/tex].
