Question

The product of two rational number is (-28/81). if one of them is -2/3 then find the other.

Answer 1

Answer:

-14/27

Explanation:

Product of two numbers = (-28/81)

One number = (-2/3)

Let the other number be x.

According to Question,

(-2/3) × x = (-28/81)

x = (-28/81) ÷ (-2/3)

x = -28/81 × -3/2

x = -14/27

Hence, the other number is (-14/27).

Answer 2

PRODUCT OF TWO RATIONAL NO. IS (–28/81).

ONE OF THEM IS –2/3.

THEN LET ANOTHER NO. BE (X).

THEN EQUATION COMES WILL BE :

X × (–2/3) = (–28/81).

THEN WE WILL SOLVE THE GIVEN EQUATION.

WE WILL SOLVE EQUATION BY TRANSPOSING METHOD.

OR, X × (–2/3) = (–28/81). ( WE WILL TRANSPOS–2/3 to R.H.S)

OR,X = (–28/81) ÷ (–2/3).

OR,X = (–28/81) × (3/–2). ( RECIPROCAL OF –2/3 IS 3/-2.)

OR,X = (-28×3) AND( 81 × -2).

OR,X = (-84) AND (-162)

OR,X = (-84/-162). ( BOTH MINUS SIGN WILL BE CUTTED).

OR,X = (84/162). (BOTH NUMBER WILL BE CUTTED BY 2).

OR,X = (42/81). ( BOTH NUMBER WILL BE CUTTED BY 3).

OR,X = 14/27.

ANSWER: 14/27.

CHECK

14/27 × (-2/3) = (-28/81).

-28/81 = (-28/81)

L.H.S = R.H.S

HENCE, PROVED.

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