Let's break down the given equation step-by-step:
1. Identify the components of the equation:
The equation given is:
[tex]\[
\frac{1}{8} \cdot 2 + 4 = 12
\][/tex]
2. Calculate the first term:
Compute the fraction multiplication first:
[tex]\[
\frac{1}{8} \cdot 2 = 0.25
\][/tex]
3. Add the second term:
Now add the calculated term to the second term in the equation:
[tex]\[
0.25 + 4 = 4.25
\][/tex]
4. Compare the result to the given value:
We now need to compare the result with the right side of the original equation:
[tex]\[
4.25 \neq 12
\][/tex]
Thus, we have determined that:
[tex]\[
\frac{1}{8} \cdot 2 + 4 = 4.25
\][/tex]
This result, 4.25, does not match the given equation’s right-hand side, which was 12. Hence, the original equation [tex]$\frac{1}{8} \cdot 2 + 4 = 12$[/tex] is incorrect. The correct evaluation leads to 4.25.
