To solve for the other number when the product of two rational numbers is -9, and one of the numbers is -12, follow these steps:
1. Understand the given information:
- The product of two numbers is -9.
- One of the numbers is -12.
- Let’s denote the unknown number as [tex]\( x \)[/tex].
2. Write the equation representing the given information:
[tex]\[
-12 \times x = -9
\][/tex]
3. Solve for [tex]\( x \)[/tex]:
To isolate [tex]\( x \)[/tex], divide both sides of the equation by -12:
[tex]\[
x = \frac{-9}{-12}
\][/tex]
4. Simplify the expression:
[tex]\[
x = \frac{-9}{-12} = \frac{3}{4}
\][/tex]
Thus, the other number is [tex]\( 0.75 \)[/tex].