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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 -7/3 find the number?
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A rational number is such that when you multiply it by 5/2 and add 2/ ...
Given Information:
A rational number x such that:
5/2 * x + 2/3 = -7/3

Finding the Number:
- First, multiply the rational number x by 5/2:
5/2 * x = -7/3 - 2/3
5/2 * x = -9/3
5/2 * x = -3
- Next, solve for x by dividing both sides by 5/2:
x = -3 / (5/2)
x = -3 * 2/5
x = -6/5

Therefore, the rational number is -6/5.
Explanation:
- To find the rational number, we first multiply x by 5/2 and add 2/3 to the product, which equals -7/3 according to the given information.
- By simplifying the equation step by step, we find that the rational number x is -6/5.
- This process involves basic arithmetic operations such as multiplication and addition, followed by division to isolate the variable x.
- The final result of x = -6/5 satisfies the initial equation and is hence the rational number we were looking for.
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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 -7/3 find the number?
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