Question

Can you please tell me how to do easy way can you please show me in numbers how to multiply ​


`(2 )/(3) - (1)/(9)`
​

Answer 1

same as before, we look at the denominators, hmmm do a quick prime factoring.

3 = 3 * 1

9 = 3 * 3 * 1

since 9 already contains 3 and 1, we can us that

`\cfrac{\underline{2}}{3}~~ - ~~\cfrac{1}{9}\implies \cfrac{(2)\underline{2}~~ - ~~(1)1}{\underset{\textit{using this LCD}}{9}}\implies \cfrac{4-1}{9}\implies \cfrac{\stackrel{1}{~~\begin{matrix} 3 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{\underset{3}{~~\begin{matrix} 9 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\implies \cfrac{1}{3}`