Question

The sum of two rational number is −4. If one of them is $-\frac{13}{12}.$ Find the other.

Answer 1

Step : Finding the other rational number Let, two rational numbers be p and q.

Given, $p+q=-4$ and one of them say $p=-\frac{13}{12}.$

$-\frac{13}{12}+q=-4$

$q=-4-(-\frac{13}{12})$

$q=\frac{-4}{1}+\frac{13}{12}$

$q=\frac{-4\times 12}{1\times 12}+\frac{13}{12}[\because LCM$ of 1 and 12 = 12]

$q=\frac{-48+13}{12}$

$q=\frac{-35}{12}$

Hence, the other rational number is $-\frac{35}{12}.$