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,

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

$\bf \cfrac{8}{x}=\cfrac{\frac{1}{1}}{\frac{33}{8}}\implies \cfrac{8}{x}=\cfrac{1}{1}\cdot \cfrac{8}{33}\implies \cfrac{8}{x}=\cfrac{8}{33}\implies \cfrac{\underline{8}\cdot 33}{\underline{8}}=x\implies 33=x$