Question

Find the value of 1.252525....+3.757575..... *

396/990

496/990

496/99

None of these

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Answer 1

Answer:

496/99

Step-by-step explanation:

1.2525...

it is non- terminating and pure recurring

so,

step 1

let x = 1.2525..

step 2

multiply by 100 both the sides (because two digits are repeating)

x * 100=1.2525..×100

100x=125.2525..

(step 2) - ( step 1)

100x-1x=125.25..

(-) 1.25..

99x=124

transposition

x=124/99

3.7575..

it is also non- terminating and pure recurring

so,

step 1

let x= 3.7575..

step 2

multiply by 100 both the side ( because here also two digits are repeating)

x * 100 = 3.7575..

100x=375.75..

(2)-(1)

100x-1x=375.75.. - 3.75..

99x=372

transposition

x=372/99

therefore 372/99+124/99=496/99

I think it may help you