Respuesta :

let x = 63.63...(by repeating i assume you mean the 63 is repeated as 63.636363...)
therefore 100x = 6363.63..
100x-x =6300 (the recurring bit has been cancelled out which is what you should always aim to do)
99x=6300
x = 6300/99
cancel down
x = 700/11
fichoh

The value of 63.63% expressed as a fraction is (700/11)%

Since 63.63% is a repeating decimal :

Then it can be explicitly expressed as : 63.636363%

Let the repeating decimal be represented as x

x = 63.63.. - - - (1)

To eliminate the repeating decimal :

Multiply both sides by 100

100x = 6363.63 - - - (2)

Subtract (1) from (2)

100x - x = 6363.63 - 63.63

99x = 6300

Divide both sides by 99 in other to isolate x

99x/99 = 6300/99

x = 6300/99

Reduce to lowest term : (divide by 9)

x = 700/11

Hence, 63.63% expressed as a fraction is 700/11%

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