0.63 repeating as a fraction in simplest form
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Answer:
7/11
Step-by-step explanation:
Explanation: We let 0.63 (63 being repeated) be x . x = 0.6363
...
Since x is recurring in 2 decimal places, we multiply it by 100*100 x = 63.6363 ...
Next, we subtract them.
100x − x = 63.6363
...
− 0.6363
...
99x = 63
The recurring digits '63' cancel off and the result is that 99 x is non-recurring.
Lastly, we divide both sides by 99 to get x as a fraction. x = 63/99 = 7/11
Therefore, 0.6363 ... = 7/11
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