Answer :
Answer:
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Step-by-step explanation:
Let the other rational number be \( x \).
The given information is that the sum of the two rational numbers is \(-\frac{15}{16}\). Thus, we have:
\[
- \frac{7}{12} + x = - \frac{15}{16}
\]
To find \( x \), we can isolate \( x \) by adding \(\frac{7}{12}\) to both sides of the equation:
\[
x = - \frac{15}{16} + \frac{7}{12}
\]
To perform this addition, we need a common denominator. The least common multiple (LCM) of 16 and 12 is 48. We convert each fraction to have this common denominator:
\[
- \frac{15}{16} = - \frac{15 \times 3}{16 \times 3} = - \frac{45}{48}
\]
\[
\frac{7}{12} = \frac{7 \times 4}{12 \times 4} = \frac{28}{48}
\]
Now, we add the two fractions:
\[
x = - \frac{45}{48} + \frac{28}{48} = \frac{-45 + 28}{48} = \frac{-17}{48}
\]
Thus, the other rational number is:
\[
\boxed{- \frac{17}{48}}
\]
Answer:-
= -17/48
Step-by-step explanation:-
-15/16+7/12
=-45+28/48
= -17/48