Question

Fill in the blanks with the suitable value: $\frac{19}{-5}+[\frac{-3}{11}+\frac{-7}{8}]=[\frac{19}{-5}+\underset{–}{}]+\frac{-7}{8}$

• A. $\frac{3}{11}$
  
• B. $\frac{-3}{11}$
  
• C. $\frac{-3}{-11}$
  
• D. $0$

Answer 1

The correct option is B $\frac{-3}{11}$


We know, as per associative property of rational numbers for addition we can write,
$(a+b)+c=a+(b+c)$ [For any rational number $a,bandc$]

So, we can write given expression $\frac{19}{-5}+[\frac{-3}{11}+\frac{-7}{8}]$ as $[\frac{19}{-5}+\frac{-3}{11}]+\frac{-7}{8}$
And after comparing we can say value for the blank will be $\frac{-3}{11}$
Hence, option 'b' is correct.