Question

what must be subtracted from3/2 to get its reciprocal?

Answer 1

Hey,

Let X be subtracted from 3/2 to get 2/3 (which is its reciprocal)

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Answer 2

Answer:

5/6

Step-by-step explanation:

let the no. to be subtracted be x.

3/2 - x= 2/3 [2/3 is the reciprocal]

(3-2x)/2= 2/3

3-2x = (2/3)*2

3-2x = 4/3

-2x = 4/3 - 3

-2x = (4-9)/3

-2x = -5/3

x = -5/3 ÷ -2

x = 5/6 [ the negative sign gets cancelled while dividing]

∴ the no. to be subtracted = 5/6