Question

what should be multiplicative inverse of -4/9+(2/5+3/8)

Answer 1

hey dear



here is your answer


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-4 / 9 + ( 2 / 5 + 3 / 8 )


- 4 / 9 + ( we take Lcm of 5 ,8 is 40 )


- 4 / 9 + ( 2*8 / 5*8 + 3*5 / 8*5 )


-4 / 9 + ( 16 / 40 + 15 /40 )


- 4 / 9 + ( 31 / 40 )



- 4 / 9 + 31 / 40


we take lcm of 9 , 40 is 360



- 4* 40 / 9*40. + 31*9 / 40*9



-160 / 360. + 279 / 360




as we know that + , - = -


so


279 / 360 - 160 / 360


= 101 /360



so the multiplicative inverse is 360 / 101


as similar to reciprocal


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hope it helps


thank you