Question

find the additive inverse of 5/7-3/7​

Answer 1

Step-by-step explanation:

$\frac{5}{7} - \frac{3}{7} = \frac{2}{7}$

additive inverse is

$\frac{ - 2}{7}$

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Answer 2

The additive inverse is - 2/7

Given :

The number 5/7 - 3/7

To find :

The additive inverse of 5/7 - 3/7

Solution :

Step 1 of 3 :

Simplify the given number

Here the given number is

$\displaystyle \sf{ \frac{5}{7} - \frac{3}{7} }$

Now

$\displaystyle \sf{ \frac{5}{7} - \frac{3}{7} }$

$\displaystyle \sf{ = \frac{5 - 3}{7} }$

$\displaystyle \sf{ = \frac{2}{7} }$

Step 2 of 3 :

Define additive inverse of a number

We know that 0 is the additive identity

Let N be any number and M be the additive inverse of N

So by the property of additive inverse

N + M = 0 = M + N

More precisely for any given number the additive inverse is the number that when added to the given number will result zero

So from above we can conclude that additive inverse of N is - N

Step 3 of 3 :

Find the additive inverse

Here the given number is 2/7

Let x be the required additive inverse

So by the property of additive inverse

x + 2/7 = 0

⇒ x = - 2/7

Hence the additive inverse is - 2/7

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