Question

How many 1/8cups go into 3 3/4cups

Answer 1

30

Step-by-step explanation

Step 1

convert the mixed number in fraction

`a(b)/(c)=((a\cdot c)+b)/(c)`

Hence

`\begin{gathered} 3(3)/(4)=((3\cdot4)+3)/(4)=(15)/(4) \\ 3(3)/(4)=(15)/(4) \end{gathered}`

Step 2

Now, to know how many 1/8 cups go into 15/4 cups, make a division

`\begin{gathered} (15)/(4)\text{divided by}(1)/(8) \\ (15)/(4)\colon(1)/(8)=(15\cdot8)/(4\cdot1)=(120)/(4)=30 \end{gathered}`

so, the answer is 30 1/8 cups