how many cups would you need if you doubled the recipe?

We need to solve the following math problem,
[tex]1\frac{3}{4}*2[/tex]Step #1. Convert mixed numbers into improper fractions
[tex]a\frac{b}{c}=\frac{a*c+b}{c}[/tex][tex]1\frac{3}{4}=\frac{1*4+3}{4}=\frac{7}{4}[/tex]Step #2. multiply 7/4 * 2
[tex]\frac{7}{4}*2=\frac{7}{4}*\frac{2}{1}=\frac{7*2}{4*1}=\frac{14}{4}[/tex]Step #3. Simplify
[tex]\frac{7*2}{2*2}=\frac{7}{2}[/tex]Step #4. Convert back to mixed number
[tex]\frac{7}{2}=3\quad\mathrm{Remainder}\quad\:1[/tex]then,
[tex]\begin{gathered} =quotient\frac{remainder}{divisor} \\ \\ \frac{7}{2}=3\frac{1}{2} \end{gathered}[/tex]Answer: 3 1/2 or option b.