Question

What is 1.5 divided by 1/6?

Answer 1

let's firstly convert the decimal 1.5 to a fraction, hmmm so it has one decimal, so we'll use a "1" with one zero on the denominator and lose the dot.

`\bf 1.\underline{5}\implies \cfrac{15}{1\underline{0}}\implies \cfrac{3}{2} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{3}{2}/ \cfrac{1}{6}\implies \cfrac{3}{~~\begin{matrix} 2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\cdot \cfrac{\stackrel{3}{~~\begin{matrix} 6 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{1}\implies 9`