Question

4 1/8 c = __ fl oz what does it equal

Answer 1

well, there are 8 fluid ounces in 1 cup, how many in 4 and 1/8 cups?

let's convert the mixed fraction to "improper" and proceed,


`\bf \begin{array}{ccll} \stackrel{fluid}{ounces}&cups\\ \text{\textemdash\textemdash\textemdash}&\text{\textemdash\textemdash\textemdash}\\ 8&1\\ x&4(1)/(8) \end{array}\implies \cfrac{8}{x}=\cfrac{1}{4(1)/(8)}\implies \cfrac{8}{x}=\cfrac{1}{(4\cdot 8+1)/(8)}\implies \cfrac{8}{x}=\cfrac{1}{(33)/(8)}`


`\bf \cfrac{8}{x}=\cfrac{(1)/(1)}{(33)/(8)}\implies \cfrac{8}{x}=\cfrac{1}{1}\cdot \cfrac{8}{33}\implies \cfrac{8}{x}=\cfrac{8}{33}\implies \cfrac{\underline{8}\cdot 33}{\underline{8}}=x\implies 33=x`