Question

a by b + b by a ( a = -2 : b = 3 )


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Answer 1

Step-by-step explanation:

Question :

$\displaystyle \leadsto \sf \: \frac{a}{b} + \frac{b}{a} \quad(a = - 2 \: and \: b = 3)$

Solution :

$\displaystyle \leadsto \sf \: \frac{a}{b} + \frac{b}{a}$

Putting values of a & b,

$\displaystyle \leadsto \sf \: \frac{ - 2}{ \: 3} + \frac{ \: \: \: 3}{ - 2}$

Talking L.C.M. :

→ 3 × -2

→ -6

$\displaystyle \leadsto \sf \: \frac{ - 2 \times - 2}{ \: 3 \times - 2} + \frac{ \: \: \: 3 \times 3 }{ - 2 \times 3} \\ \\ \displaystyle \leadsto \sf \: \frac{ \: \: \: \: 4}{ - 6} + \frac{ \: \: \: 9}{ - 6} \\ \\ \displaystyle \leadsto \sf \: \frac{4 + 9}{ - 6} \\ \\ \displaystyle \leadsto \sf \: \boxed{ \bf\frac{ \: \: 13}{ - 6}} \: \bigstar$

Hence,

$\red{ \displaystyle \leadsto \boxed{\bf \: \pink{ \frac{a}{b} + \frac{b}{a} = \frac{ - 13}{ \: \: 6} }} \: \green\bigstar}$