To find the sum of [tex]\(\frac{3}{8}\)[/tex] and [tex]\(\frac{1}{16}\)[/tex], we need to express both fractions with a common denominator.
1. Identify the common denominator: The smallest common denominator for 8 and 16 is 16.
2. Convert [tex]\(\frac{3}{8}\)[/tex] to a fraction with denominator 16:
[tex]\[
\frac{3}{8} = \frac{3 \times 2}{8 \times 2} = \frac{6}{16}
\][/tex]
3. Now add [tex]\(\frac{6}{16}\)[/tex] and [tex]\(\frac{1}{16}\)[/tex]:
[tex]\[
\frac{6}{16} + \frac{1}{16} = \frac{6 + 1}{16} = \frac{7}{16}
\][/tex]
Thus, the sum of [tex]\(\frac{3}{8}\)[/tex] and [tex]\(\frac{1}{16}\)[/tex] is [tex]\(\frac{7}{16}\)[/tex].
The best answer is:
D. [tex]\(\frac{7}{16}\)[/tex]
