Answer:
[tex]\frac{14}{8\pi +1}[/tex]
Step-by-step explanation:
[tex]\frac{7}{\left(4\pi \right)+\frac{1}{2}}[/tex]
[tex]\mathrm{Remove\:parentheses}:\quad \left(a\right)=a[/tex]
[tex]=\frac{7}{4\pi +\frac{1}{2}}[/tex]
[tex]Join\;4\pi +\frac{1}{2}:\frac{8\pi +1}{2}[/tex]
[tex]=\frac{7}{\frac{8\pi +1}{2}}[/tex]
[tex]\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{a}{\frac{b}{c}}=\frac{a\cdot \:c}{b}[/tex]
[tex]=\frac{7\cdot \:2}{8\pi +1}[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:7\cdot \:2=14[/tex]
[tex]=\frac{14}{8\pi +1}[/tex]
Answer = [tex]=\frac{14}{8\pi +1}[/tex]
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