Sure, let's solve the given problem step-by-step:
1. Identify the fractions that need to be added:
[tex]\( \frac{1}{8} \)[/tex] and [tex]\( \frac{2}{16} \)[/tex].
2. Find a common denominator:
To add fractions, they must have the same denominator. Notice that [tex]\( \frac{2}{16} \)[/tex] can be simplified because both the numerator and the denominator can be divided by 2:
[tex]\[
\frac{2}{16} = \frac{2 \div 2}{16 \div 2} = \frac{1}{8}
\][/tex]
3. Rewrite the problem with the common denominator:
Now, the problem is simpler since both fractions have the same denominator:
[tex]\[
\frac{1}{8} + \frac{1}{8}
\][/tex]
4. Add the fractions:
When adding fractions with the same denominator, you add the numerators and keep the denominator the same:
[tex]\[
\frac{1+1}{8} = \frac{2}{8}
\][/tex]
5. Simplify the resulting fraction:
Simplify [tex]\( \frac{2}{8} \)[/tex] by dividing both the numerator and the denominator by their greatest common divisor, which is 2:
[tex]\[
\frac{2 \div 2}{8 \div 2} = \frac{1}{4}
\][/tex]
6. Convert the simplified fraction to a decimal:
[tex]\[
\frac{1}{4} = 0.25
\][/tex]
So, the final result of adding [tex]\( \frac{1}{8} \)[/tex] and [tex]\( \frac{2}{16} \)[/tex] is:
[tex]\[
\frac{1}{4} \text{ or } 0.25
\][/tex]
