Question

Express as a fraction 2 3/7 pounds to 2 6/7 pounds

Answer 1

`\bf \begin{cases} 2(3)/(7)\implies \cfrac{2\cdot 7+3}{7}\implies &\cfrac{17}{7}\\ 2(6)/(7)\implies \cfrac{2\cdot 7+6}{7}\implies &\cfrac{20}{7} \end{cases} \\ \quad \\ \textit{a to b}\implies a:b\implies (a)/(b)\qquad thus \\ \quad \\ 2(3)/(7)\ to\ 2(6)/(7)\implies 2(3)/(7):2(6)/(7)\implies \cfrac{2(3)/(7)}{2(6)/(7)} \implies \cfrac{(17)/(7)}{(20)/(7)}`

`\bf recall\implies \cfrac{(a)/(b)}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\qquad thus \\ \quad \\\\ \quad \\ \cfrac{17}{7}\cdot \cfrac{7}{20}\implies \cfrac{17\cdot 7}{7\cdot 20}\implies \cfrac{\boxed{?}}{\boxed{?}}`