Question

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

Answer 1

Let the number added be x

ATQ

-7/3 + x = 3/7

=> x = 3/7 + 7/3 ( Find LCM of 7 and 3 = 21 )

=> x = (3×3 + 7×7)/21

=> x = (9+ 49)/21

=> x = 58/21

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

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Answer 2

Given: Two rational numbers-  $\frac{-7}{3} \ and \ \frac{3}{7}$

To find: The number which should be added to $\frac{-7}{3}$ to get  $\frac{3}{7}$

Let: The required number be $x$

Solution: According to the given question,

∵ $\frac{-7}{3} + x = \frac{3}{7}$

⇒ $x = \frac{3}{7} - (\frac{-7}{3} )$

⇒ $x = \frac{3*3 - [(-7) * 7]}{21} = \frac{9 - (-49)}{21} = \frac{58}{21}$

Hence, $\frac{58}{21}$ should be added to $\frac{-7}{3}$ to get $\frac{3}{7}$