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A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/2 .what is the number?
Verified Answer
A rational number is such that when you multiply it by 5/2 and add 2/3...
Let rational no be x.
then 
5x/2 + 2/3 = -7/12
5x/2 = -7/12 - 2/3
5x/2 = (-7-8)/12
5x/2 = -15/12
x = -1/2
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Most Upvoted Answer
A rational number is such that when you multiply it by 5/2 and add 2/3...

Given Information:
A rational number when multiplied by 5/2 and added to 2/3 gives -7/2.

Let's assume the rational number is x.

Equation:
5/2 * x + 2/3 = -7/2

Solving the Equation:
To find the value of x, we need to isolate x in the equation.

- First, we multiply both sides by 2 to get rid of the fraction:
5x + 4/3 = -7

- Next, we subtract 4/3 from both sides to further isolate x:
5x = -7 - 4/3
5x = -21/3 - 4/3
5x = -25/3

- Lastly, divide by 5 to solve for x:
x = -25/3 / 5
x = -25/3 * 1/5
x = -25/15
x = -5/3

Therefore, the rational number is -5/3.

Explanation:
- The given rational number, when multiplied by 5/2 and added to 2/3, results in -7/2.
- By solving the equation, we found that the value of x is -5/3, which satisfies the given condition.
- Hence, the rational number that fulfills the given criteria is -5/3.
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A rational number is such that when you multiply it by 5/2 and add 2/3 to the product you get -7/2 .what is the number?
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