Question

simplify -5/11 + 43/9​

Answer 1

Step-by-step explanation:

(473-45)/99. here Lcm is 99

428/99

4.32

Answer 2

Answer:

On simplifying  $\frac{-5}{11}+ \frac{43}{9}$  we get , value as  $\frac{428 }{99}$  .

Step-by-step explanation:

To simplify : $\frac{-5}{11}+ \frac{43}{9}$

Solution :  

• In the given question we are asked to  simplify  $\frac{-5}{11}+ \frac{43}{9}$  .
• We know that  , if one negative and one positive integers are to be added then operation performed is subtraction and difference obtained has sign of greater integer.

        i.e.$(-)-(+)= sign \ of \ greater \ integer$  

• To simplify  $\frac{-5}{11}+ \frac{43}{9}$   we  need to equalize denominators of both the rational numbers by taking LCM .  
• Therefore, LCM = $99$  

          $\frac{-5}{11}+ \frac{43}{9}\\\\ =\frac{-5\times 9}{11\times9}+\frac{43\times 11}{9\times 11}\\\\= \frac{-45}{99} + \frac{473}{99}\\\\= \frac{-45 + 473 }{99} \\\\ =\frac{428}{99}$