30
Explanation
Step 1
convert the mixed number in fraction
[tex]a\frac{b}{c}=\frac{(a\cdot c)+b}{c}[/tex]Hence
[tex]\begin{gathered} 3\frac{3}{4}=\frac{(3\cdot4)+3}{4}=\frac{15}{4} \\ 3\frac{3}{4}=\frac{15}{4} \end{gathered}[/tex]Step 2
Now, to know how many 1/8 cups go into 15/4 cups, make a division
[tex]\begin{gathered} \frac{15}{4}\text{divided by}\frac{1}{8} \\ \frac{15}{4}\colon\frac{1}{8}=\frac{15\cdot8}{4\cdot1}=\frac{120}{4}=30 \end{gathered}[/tex]so, the answer is 30 1/8 cups
