Question

Verify 2/-9 + -3/5 + 1/3 = -3/5 + 2/-9 + 1/3

Answer 1

hey dear



here is your answer


Solution



2 / -9 + -3 /5 +1 /3 = - 3 /5 + 2 /-9 + 1/3



( ➖ sign cannot be in denominator it always in numerator)


so

-2 / 9 - 3 /5 + 1/3 = - 3/5 + -2 /9 +1/3



( we take LCM of 9 , 5 , 3 is 45 )



- 2* 5 / 9 *5 - 3*9 / 5*9 + 1*15 / 3*15

= -3/5 +-2/9 +1/3



-10 /45 - 27 /45 +15 /45 = -3/5 -2/9 +1/3



-10 -27 +15 /45 = ( we take lcm 5,9,3 is 45)


-22 /45. = - 3 *9 / 5*9 - 2*5 /9*5 + 1*15 / 3*15



-22/45. = -27 /45 -10 /45 +15 /45


-22 /45 = -22 /45




hence LHS =RHS


hence verified




hope it helps


thank you

Answer 2

Heya !!

Here's your answer. ⬇⬇

$\frac{ - 2}{9} + \frac{ - 3}{5} + \frac{1}{3} = \frac{ - 3}{5} + \frac{ - 2}{9} + \frac{1}{3} \\ \\ taking \: \: lcm \: \: of \: \: 9 \: \: 5 \: \: and \: \: 3 \: \: we \: \: get \: \: 45 \\ \\ \frac{ - 2}{9} \times \frac{5}{5} + \frac{ - 3}{5} \times \frac{9}{9} + \frac{1}{3} \times \frac{15}{15} = \frac{ - 3}{5} \times \frac{9}{9} + \frac{ - 2}{9} \times \frac{5}{5} + \frac{1}{3} \times \frac{15}{15} \\ \\ \frac{ - 10}{45} + \frac{ - 27}{45} + \frac{15}{45} = \frac{ - 27}{45} + \frac{ - 10}{45} + \frac{15}{45} \\ \\ \frac{ - 10 - 27 + 15}{45} = \frac{ - 27 - 10 + 15}{45} \\ \\ \frac{ - 22}{45} = \frac{ - 22}{45}$
Hence,

L.H.S = R.H.S ----- ( Verified )

HOPE IT HELPS..

THANKS ^-^