Question

$494 is 66 2/3 of what amount?

Answer 1

is 66 2/3 of "x"

what the dickens is "x"? well. hmmm let us make the mixed fraction an "improper fraction" first

so
`\bf 66(2)/(3)\implies \cfrac{66\cdot 3+2}{3}\implies \cfrac{200}{3}\\\\ -----------------------------\\\\ 494=\cfrac{200}{3}x\implies 494=\cfrac{200x}{3}\implies \cfrac{3\cdot 494}{200}=x`