To solve the expression [tex]\( \frac{4}{8} + \frac{1}{6} \)[/tex], let's break it down into detailed steps:
Step 1: Simplify the first fraction [tex]\( \frac{4}{8} \)[/tex]
Let's reduce [tex]\( \frac{4}{8} \)[/tex] to its simplest form:
- The numerator is 4 and the denominator is 8.
- The greatest common divisor of 4 and 8 is 4.
- Dividing both the numerator and the denominator by 4, we get:
[tex]\[
\frac{4 \div 4}{8 \div 4} = \frac{1}{2}
\][/tex]
So, [tex]\( \frac{4}{8} \)[/tex] simplifies to [tex]\( \frac{1}{2} \)[/tex], which is also [tex]\( 0.5 \)[/tex] in decimal form.
Step 2: Simplify the second fraction [tex]\( \frac{1}{6} \)[/tex]
The fraction [tex]\( \frac{1}{6} \)[/tex] is already in its simplest form, so we leave it as it is. In decimal form, it can be written as [tex]\( 0.16666666666666666 \)[/tex].
Step 3: Sum the simplified decimal values of the fractions
Now, let's add the decimal values obtained from the two fractions:
[tex]\[
0.5 + 0.16666666666666666
\][/tex]
Adding these values together, we get:
[tex]\[
0.6666666666666666
\][/tex]
Conclusion:
The sum of the fractions [tex]\( \frac{4}{8} + \frac{1}{6} \)[/tex] is [tex]\( 0.6666666666666666 \)[/tex].
