Sure, let's find the sum of the fractions [tex]\( \frac{3}{8} \)[/tex] and [tex]\( \frac{1}{16} \)[/tex].
1. Find a common denominator:
The denominators of the fractions are 8 and 16. The least common denominator (LCD) of these numbers is 16 because 16 is the smallest number that both 8 and 16 can divide into.
2. Convert each fraction to the common denominator:
- For [tex]\( \frac{3}{8} \)[/tex]:
To convert [tex]\( \frac{3}{8} \)[/tex] to a fraction with a denominator of 16, multiply both the numerator and the denominator by 2:
[tex]\[
\frac{3}{8} = \frac{3 \times 2}{8 \times 2} = \frac{6}{16}
\][/tex]
- For [tex]\( \frac{1}{16} \)[/tex]:
This fraction already has a denominator of 16, so it stays the same:
[tex]\[
\frac{1}{16}
\][/tex]
3. Add the fractions:
With both fractions having the common denominator of 16, you can add the numerators directly:
[tex]\[
\frac{6}{16} + \frac{1}{16} = \frac{6 + 1}{16} = \frac{7}{16}
\][/tex]
From the options provided, the correct answer is:
B) [tex]\( \frac{7}{16} \)[/tex]
