Question

evaluate 3/7 + -4/9 + -11/7 +7/9​

Answer 1

Answer is :-

$\frac{3}{7} + \frac{ - 4}{9} + \frac{ - 11}{7} + \frac{7}{9}$

$= \frac{3}{7} - \frac{4}{9} - \frac{11}{7} + \frac{7}{9}$

Taking the LCM of 7 and 9 is 63.

$= \frac{27}{63} - \frac{28}{63} - \frac{99}{63} + \frac{49}{63}$

$= \frac{27 - 28 - 99 + 49}{63}$

27-28=-1 and -99+49=-50

$= \frac{ - 1 - 50}{63}$

$= \frac{ - 51}{63}$

51 and 63 is divisible by 3, so reducing it the final answer we get is

$= \frac{ - 17}{21}$