\(half\to\frac{1}{2}\\the\ sum\ of\ p\ and\ 2q\to p+2q\\increased\to"+"\\three-fourts\ q\to\frac{3}{4}q\\\\an\ expression:\\\\\frac{1}{2}(p+2q)+\frac{3}{4}q\ \ \ |use\ distributive\ property:a(b+c)=ab+ac\\\\=\frac{1}{2}(p)+\frac{1}{2}(2q)+\frac{3}{4}q=\frac{1}{2}p+q+\frac{3}{4}q=\huge\boxed{\frac{1}{2}p+1\frac{3}{4}q}\)
