Question

The sum of two rational numbers is - 19 /60. If one of the numbers is - 7/12, find the other.

Answer 1

Here is ur answer.......

Answer 2

$\boxed{\boxed{\large\mathbf{\frac{16}{60} = \frac{4}{15}}}}$
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Let one of the number be $\bf{x}$

The other number = $\frac{-7}{12}$

Their sum = $\mathsf{x + \frac{-7}{12}}$
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$\underline{\textbf{A.T.Q,}}$

$\mathsf{x + \frac{-7}{12} = \frac{-19}{60}}$

$\mathsf{=> x = \frac{-19}{60} - (\frac{-7}{12})}$

$\mathsf{=> x = \frac{-19}{60} + \frac{7}{12}}$

$\mathsf{=> x = \frac{-19 + 35}{60} }$

$=> \boxed{\mathbf{ x = \frac{16}{60} = \frac{4}{15}}}$

Hence, the other number is $\mathbf{\frac{16}{60} \: or \: \frac{4}{15}}$