Simplify.
1/2+(3/8−1/8)^2
Enter your answer, as a simplified fraction, in the box.
Answer:
[tex]\frac{9}{16}[/tex]
Step-by-step explanation:
[tex]\frac{3}{8}- \frac{1}{8}= \frac{3-1}{8}= \frac{2}{8}= \frac{1}{4}\\\\\\ (\frac{3}{8}- \frac{1}{8})^{2}=(\frac{1}{4})^{2}=\frac{1}{16}\\\\\\\frac{1}{2}+(\frac{3}{8}-\frac{1}{8})^{2} = \frac{1}{2}+\frac{1}{16}\\\\\\=\frac{1*8}{2*8}+\frac{1}{16}\\\\\\=\frac{8}{16}+\frac{1}{16}\\\\\\=\frac{9}{16}[/tex]