[tex]\frac{-5}{11} + x = \frac{5}{9} \\\\
x = \frac{5}{9} - (\frac{-5}{11} )\\\\
x = \frac{5}{9} + \frac{5}{11} \\
\\
x = \frac{( 5 X 11) + (5 X 9) }{( 9 X 11)} \\\\
x = \frac{100} {99} [/tex]
By taking LCM in the second last step answer comes out to be 100/99
Answers & Comments
Answer:
The number added should be 100/99.
Step-by-step explanation:
Let the number added be x
According to question
[tex]\frac{-5}{11} + x = \frac{5}{9} \\\\ x = \frac{5}{9} - (\frac{-5}{11} )\\\\ x = \frac{5}{9} + \frac{5}{11} \\ \\ x = \frac{( 5 X 11) + (5 X 9) }{( 9 X 11)} \\\\ x = \frac{100} {99} [/tex]
By taking LCM in the second last step answer comes out to be 100/99
Hope it helps!