Question

(0.424242.......)-(0.353535.....)

Answer 1

let x be (0.424242.......)
since same number is repeating after two digtits

we just multiply 10^2 with x i.e 100x=42.424242.......
100x -x =42.424242....... -0.424242.......
99x = 42
x=42 / 99

similarly y be 0.353535.....
100y =35.3535.......

100y - y = 35.3535....... - 0.353535.....=35
y=35 /99

so x-y = 42/99 - 35 /99 =7/99

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