Question

3 4/15 divided by (8 times 6 3/10)

Answer 1

let's first of all, convert all the mixed fractions to improper fractions and then proceed.

`\stackrel{mixed}{3(4)/(15)}\implies \cfrac{3\cdot 15+4}{15}\implies \stackrel{improper}{\cfrac{49}{15}} ~\hfill \stackrel{mixed}{6(3)/(10)}\implies \cfrac{6\cdot 10+3}{10}\implies \stackrel{improper}{\cfrac{63}{10}} \\\\[-0.35em] ~\dotfill`

`\cfrac{3(4)/(15)}{ ~~ 8\cdot 6(3)/(10) ~~ }\implies \cfrac{(49)/(15)}{ ~~ 8\cdot (63)/(10) ~~ }\implies \cfrac{(49)/(15)}{ ~~ (252)/(5) ~~ }\implies \cfrac{49}{15}\cdot \cfrac{5}{252}\implies \cfrac{49}{252}\cdot \cfrac{5}{15} \\\\\\ \cfrac{7}{36}\cdot \cfrac{1}{3}\implies \cfrac{7}{108}`