Question

Express the rational number 0.¯45 in the form pq, where p and q are natural number​

Answer 1

(1).0.45 = 45100 = 920

(2).34 = 3×254×25 = 75100 = 0.75(6).19x − 1 = 18

Put x = 0, we getLHS = 19×0−1 = −1RHS = 18

Since, LHS ≠RHS, so x = 0 is not a solution.y − 7 = 2

Put y = 9, we getLHS = 9 − 7 = 2RHS = 2

Since, LHS = RHS, so x = 9 is a solution.

Answer 2

Answer:

Let x=0.

45

x=0.454545454545 . . . (1)

Multiply equation (1) with 100

100x=45.4545454545 . . . (2)

Subtract equation (2) from (1)

100x−x=45.4545...−0.4545...

⇒99x= 45

⇒11x=5

⇒x=

11

5