Question

By what number should we multiply - 1/6 so that the product may be- 23/9​

Answer 1

Step-by-step explanation:

Given :-

-1/6

To find :-

By what number should we multiply - 1/6 so that the product may be- 23/9 ?

Solution :-

Given number = -1/6

Let the required number be X

Result = -23/9

X should be multiplied with -1/6 to get -23/9

=> (-1/6)× X = -23/9

=> (-1×X)/6 = -23/9

=> -X/6 = -23/9

=> X/6 = 23/9

=> X = (23/9)×6

=> X = (23×6)/9

=> X = 138/9

=> X = 46/3

Therefore , X = 46/3

Answer:-

The required number for the given problem is 46/3

Check :-

The required number = 46/3

On multiplying 46/3 with -1/6 then

=> (46/3)×(-1/6)

=> (46×-1)/(3×6)

=> -46/18

=> -23/9

Verified the given relation in the given problem.

Answer 2

Step-by-step explanation:

Let x should be multiplied

X × -1/6 = -23/9

-x/6 = -23/9

x/6 = 23/9

x = (23×6)/9

x = (23×2)/3

x = 46/3

Now the other Number is 43/3