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What should be added to the twice the rational number -7÷3 to get 3÷7.answer me with the steps?
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What should be added to the twice the rational number -7÷3 to get 3÷7....
Steps to Find the Number to be Added to Twice the Rational Number
1. Identify the Given Equations:
We are given the equation:
Twice the rational number -7÷3 + x = 3÷7
where x is the number we need to find.
2. Express the Equations in Terms of Fractions:
Twice the rational number -7÷3 can be written as 2*(-7/3) = -14/3
Similarly, 3÷7 can be written as 3/7
3. Set up the Equation:
Now, our equation becomes:
-14/3 + x = 3/7
4. Find a Common Denominator:
To add fractions, we need a common denominator. In this case, the common denominator between 3 and 7 is 21.
5. Write the Fractions with a Common Denominator:
-14/3 can be written as -14*7/3*7 = -98/21
3/7 remains the same
6. Add the Fractions:
Now, our equation becomes:
-98/21 + x = 3/7
7. Solve for x:
To find x, we need to isolate it on one side of the equation. Subtract -98/21 from both sides:
x = 3/7 + 98/21
x = 9/21 + 98/21
x = 107/21
8. Final Answer:
The number that should be added to twice the rational number -7÷3 to get 3÷7 is 107/21.
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What should be added to the twice the rational number -7÷3 to get 3÷7.answer me with the steps?
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