Question

If 5a=11b and 11b=9c then a:c=

Answer 1

Hello,

Answer:

`\sf We \:\: have : \begin{cases} \sf 5a=11b \\ \sf 11b=9c\end{cases}\Longrightarrow\Large{ \sf 5a = 9c`

`\sf 5a=9c \iff (5a)/(5) =(9c)/(5) \\\\ { \sf} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\iff a = (9c)/(5)\\\\{ \sf} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\iff a/ c = (9c)/(5) / c\\\\{ \sf} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\iff a/ c = (9c)/(5) * (1)/(c) \\\\ { \sf} \:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\iff \boxed{\sf a/ c = (9)/(5)}`

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Hoping to have helped you, keep up the good work!