Question

Which of the following correctly models and gives the quotient of fraction 2 over 3 ÷ fraction 1 over 6?

Answer 1

`\bf \cfrac{(a)/(b)}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\\\\ -------------------------------\\\\ \cfrac{2}{3}/ \cfrac{1}{6}\implies \cfrac{(2)/(3)}{(1)/(6)}\implies \cfrac{2}{3}\cdot \cfrac{6}{1}\implies \cfrac{2\cdot 6}{3\cdot 1}\implies \cfrac{12}{3}\implies \cfrac{4}{1}\implies 4`

Answer 2

(2/3) / (1/6) =
2/3 * 6/1 =
12/3 =
4