Question

What number should be added to 2/3 to get 3/4?
1 point​

Answer 1

Answer:

Formula: -2/3 - x = 3/4

>> -x = 3/4 + 2/3

To add the fractions with different denominators is to first find its LCD of 4 & 3 which is 12.

>> -x = 3/4 + 2/3

-x = (9+8)/12 (how? 12 divided by 4 equals 3 and then times 3 again which is the numerator of the first fraction = 9 ; 12 divided by 3 equals 4 and then times 2 again which is the numerator of the second fraction = 8)

>> -x = 17/12

>> x = -17/12

Answer is x = -17/12

Therefore, if you subtract -2/3 and -17/12 the result is 3/4

How?

>> -2/3 - (-17/12)

>> (-8+17)/12 (negative * negative = positive)

>> 9/12

Simplify 9/12 to its lowest form which is equal to 3/4

Thanks.

Answer 2

The number which is added to 2/3 to get 3/4 is 1/12  

Given:

2/3 and 3/4

To find:

What number should be added to 2/3 to get 3/4?

Solution:

Given 2/3 and 3/4  

Let x is added to 2/3 to get 3/4

⇒ 2/3 + x = 3/4

Take constant terms to one side

⇒ 3/4 - 2/3 = x

Take LCM of 4, 3

As we know LCM(4, 3) = 4 × 3 = 12

⇒ x = 3/4 - 2/3 = [(3(3) - 4(2) ]/12

= [ 9 - 8]/12 = 1/12

⇒ x = 1/12

Therefore,

The number which is added to 2/3 to get 3/4 is 1/12  

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