Question

What is the answer 0.23 bar+0.22 bar in rational numbers

Answer 1

Answer:

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Step-by-step explanation:

let x = 0.2323....-----( 1 )

Multiply equation ( 1 ) with 100, we get

100x = 23.2323......-----( 2 )

Subtract ( 1 ) from ( 2 ) , we get

99x = 23

x = 23/99 ----( 3 )

ii ) Let y = 0.2222.....----( 4 )

Multiply equation ( 4 ) with 100,

100y = 22.2222.....-----( 5 )

Subtract ( 4 ) from ( 5 ) , we get

99y = 22

y = 22/99 ----( 6 )

Therefore ,

0.23bar + 0.22bar

= x + y

= 23/99 + 22/99

= ( 23 + 22 ) / 99

= 45/99

= 5/11