Question

Write the ratio as a ratio of a whole numbers using fractional notation 6 1/2 to 15 1/6

Answer 1

`\bf 6(1)/(2):15(1)/(6)\qquad \begin{cases} 6(1)/(2)\implies \cfrac{6\cdot 2+1}{2}\\\\ 15(1)/(6)\implies \cfrac{15\cdot 6+1}{6} \end{cases}\implies \cfrac{ (6\cdot 2+1)/(2)}{(15\cdot 6+1)/(6)}\\\\ -----------------------------\\\\ \cfrac{(a)/(b)}{\frac{c}{{{ d}}}}\implies \cfrac{a}{b}\cdot \cfrac{{{ d}}}{c}\qquad thus \\\\\\ \cfrac{6\cdot 2+1}{2}\cdot \cfrac{6}{15\cdot 6+1}`

simplify away