What should be added to twice the rational number -7/3 to get 3/7 ?

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Problem

What should be added to twice the rational number -7/3 to get 3/7? Explain in details.

Solution

Let's break down the problem into smaller parts.

Step 1: Find twice the rational number -7/3

Twice the rational number -7/3 can be found by multiplying it by 2.

Twice the rational number -7/3 = 2 x (-7/3) = -14/3

Step 2: Find the amount to be added to -14/3 to get 3/7

The amount to be added to -14/3 to get 3/7 can be found by subtracting -14/3 from 3/7.

3/7 - (-14/3) = 3/7 + 14/3 = (9 + 98)/21 = 107/21

Step 3: Check the answer

To check if our answer is correct, we can add it to twice the rational number -7/3 and see if it equals 3/7.

-14/3 + 107/21 = -98/21 + 107/21 = 9/21 = 3/7

Therefore, the amount to be added to twice the rational number -7/3 to get 3/7 is 107/21.

Final Answer

The amount to be added to twice the rational number -7/3 to get 3/7 is 107/21.

Answer