Question

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

Answer 1

$\bf \begin{cases} 2\frac{3}{7}\implies \cfrac{2\cdot 7+3}{7}\implies &\cfrac{17}{7}\\ 2\frac{6}{7}\implies \cfrac{2\cdot 7+6}{7}\implies &\cfrac{20}{7} \end{cases} \\ \quad \\ \textit{a to b}\implies a:b\implies \frac{a}{b}\qquad thus \\ \quad \\ 2\frac{3}{7}\ to\ 2\frac{6}{7}\implies 2\frac{3}{7}:2\frac{6}{7}\implies \cfrac{2\frac{3}{7}}{2\frac{6}{7}} \implies \cfrac{\frac{17}{7}}{\frac{20}{7}}$
$\bf recall\implies \cfrac{\frac{a}{b}}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\qquad thus \\ \quad \\\\ \quad \\ \cfrac{17}{7}\cdot \cfrac{7}{20}\implies \cfrac{17\cdot 7}{7\cdot 20}\implies \cfrac{\boxed{?}}{\boxed{?}}$