Question

if a÷2=b÷5=c÷6 then find the value of( a+b+c)÷b

Answer 1

aloha user!
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$\frac{a}{2} = \frac{b}{5} = \frac{c}{6}$

$equations: \frac{a}{2} = \frac{b}{5} =\ \textgreater \ 5a = 2b =\ \textgreater \ [a= \frac{2b}{5} ]--------(1)$

$\frac{b}{5} =\frac{c}{6} =\ \textgreater \ 6b = 5c =\ \textgreater \ [ c= \frac{6b}{5} ]---------------(2)$

now,

$\frac{a + b + c}{b} = ?$


$\frac{ \frac{2b}{5} + b + \frac{6b}{5} }{b} =\ \textgreater \ \frac{ \frac{2b}{5} + \frac{5b}{5} + \frac{6b}{5} }{b} =\ \textgreater \ \frac{ \frac{13b}{5} }{b} =\ \textgreater \ \frac{13b}{5} ( \frac{1}{b} ) =\ \textgreater \ \frac{13}{5}$

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