Question

write the ratio 6 5/9 to 4 1/3 as a ratio of whole numbers using fractional notationotations write in simplest form

Answer 1

let's firstly, convert the mixed fractions to improper, and then do the ratio.

`\bf \stackrel{mixed}{6(5)/(9)}\implies \cfrac{6\cdot 9+5}{9}\implies \stackrel{improper}{\cfrac{59}{9}}~\hfill \stackrel{mixed}{4(1)/(3)}\implies \cfrac{4\cdot 3+1}{3}\implies \stackrel{improper}{\cfrac{13}{3}} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \cfrac{~~6(5)/(9)~~}{4(1)/(3)}\implies \cfrac{~~(59)/(9)~~}{(13)/(3)}\implies \cfrac{59}{9}\cdot \cfrac{3}{13}\implies \cfrac{59}{13} \cdot \cfrac{3}{9}\implies \cfrac{59}{13}\cdot \cfrac{1}{3}\implies \cfrac{59}{39}`