Question

What should be added to (-7)⁄3 to get 3⁄7 ?​

Answer 1

★ Correct question:

What should be added to -7/3 to get 3/7

Answer:

58/21 should be added

Step-by-step explanation:

Let the number which is to be added be x.

According to the question,

$\dfrac{ - 7}{3} + x = \dfrac{3}{7}$

Adding 7/3 on both sides,

$\dashrightarrow \: \: \sf{x = \dfrac{3}{7} + \dfrac{7}{3} }$

LCM of 7 and 3 is 21. So, convert the numerator to 21.

$\dashrightarrow \: \: \sf{x = \dfrac{(3 \times 3) + (7 \times 7)}{21} }$

$\dashrightarrow \: \: \sf{x = \dfrac{9 + 49 }{21} }$

$\dashrightarrow \: \: \sf{x = \dfrac{58}{21} }$

So, 58/21 should be added to -7/3 to get 3/7.