Question

What should be added to twice the rational number -5/3 to obtain 7/4
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Answer 1

Step-by-step explanation:

Given :-

the rational number = -5/3

To find :-

What should be added to twice the rational number -5/3 to obtain 7/4 ?

Solution :-

Let the required number be X

Given rational number = -5/3

Twice the rational number -5/3

= 2×(-5/3)

= (2×-5)/3

= -10/3

Now

On adding X to -10/3 then the result =(-10/3)+X

According to the given problem

The result = 7/4

=> (-10/3)+X = 7/4

=> X = (7/4)+(10/3)

LCM of 4 and 3 is 12

=> X = [(7×3)+(10×4)]/12

=> X = (21+40)/12

=> X = 61/12

Therefore, The value of X is 61/12

Answer:-

The required number for the given problem is 61/12

Check:-

Given number = -5/3

Twice the number = 2×(-5/3)=-10/3

Required number = 61/12

On adding both of them

=> (-10/3)+(61/12)

=> (-40+61)/12

=> 21/12

=> 7/4

Verified the given relations in the given problem