Question

What should be subtracted from the additive inverse of (3/4 - 2/3 ) to get -1/6 ?

Answer 1

Answer:

The number that should be subtracted is 1/12.

Step-by-step explanation:

First, we will solve (3/4 - 2/3 );

We will take LCM as 13 and multiply the denominator and numerator of the first term by 3 and the second term by 4.

(9/12 - 8/12) = 1/12

To find out the additive inverse, we will just flip the sign.

-1/12 is the additive inverse.

We have to find out what number should be subtracted from -1/12 that it will give -1/6 as the answer.

Let the number be x.

-1/12 - x =-1/6

x=1/6 - 1/12

We will take LCM as 12 and multiply the denominator and numerator of 1/6 by 2.

x=2/12-1/12

x=1/12

So, the number that should be subtracted is 1/12.