To add the fractions [tex]\(\frac{1}{4}\)[/tex] and [tex]\(\frac{2}{4}\)[/tex], follow these steps:
1. Identify a common denominator:
Since the denominators of both fractions are the same (4), we can use 4 as the common denominator.
2. Add the numerators:
- The numerator of the first fraction is 1.
- The numerator of the second fraction is 2.
- Adding these numerators gives us: [tex]\(1 + 2 = 3\)[/tex].
3. Construct the new fraction:
Combine the sum of the numerators over the common denominator to get the new fraction:
[tex]\[
\frac{3}{4}
\][/tex]
Now, let's review the given choices:
- [tex]\(\frac{3}{16}\)[/tex]
- [tex]\(\frac{3}{4}\)[/tex]
- [tex]\(\frac{3}{8}\)[/tex]
- [tex]\(\frac{2}{16}\)[/tex]
By comparing our result [tex]\(\frac{3}{4}\)[/tex] with the provided choices, we can see that the correct answer is:
[tex]\(\boxed{\frac{3}{4}}\)[/tex]
