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The product of two rational numbers is -9. If one of the numbers is -12, find the other.

Sagot :

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].