Diana made a recipe that yields 6 and 1 over 2 cups. If each serving is 1 over 4 cup, which expression will help Diana determine the number of servings her recipe will yield?

Question

anonymous · Answer

Diana made a recipe that yields 6 and 1 over 2 cups. If each serving is 1 over 4 cup, which expression will help Diana determine the number of servings her recipe will yield? 
 6 and 1 over 2 ⋅ 1 over 4 6 and 1 over 2 ÷ 1 over 4 6 and 1 over 2 + 1 over 4 6 and 1 over 2 – 1 over 4

anonymous · Answer

can anyone help??

anonymous · Answer

6 and 1 over 2 is mathematically written as $$6\frac{ 1 }{ 2 }$$ and to write this as a simple fraction, you multiply the denominator with the whole number and add the numerator. the result will be the new numerator and the denominator remains the same as before.
Being $$\frac{ 2*6+1 }{ 2 }=\frac{ 13 }{ 2 }$$.
If one serving takes $$\frac{ 1 }{ 4 } $$ of the recipe, then you need to find x.
becoming 
$$\frac{ 13 }{ 2 }=\frac{ 1 }{ 4 }x$$
Find x.

anonymous · Answer

how do I find x?

anonymous · Answer

@Hoslos

anonymous · Answer

You have to transport the fraction on the right hand side to the left one, but since it was being multiplied by x, it will be divided by 13/2 in the left hand side.
Plus, remember that in division of fraction, you multiply the first one with the inverse of the second.

anonymous · Answer

so its A

anonymous · Answer

B. What I told you is B. It is division with 1/4, not multiplication.