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First of all , to indicata a repeating fraction. you write 1.464646... (Note the three or more stops).

Other wise, when written as 1.46 it is a terminating fraction.

1.46 as a fraction is 1 46/100 = 1 23/50

To convert 1.464646.... to a fraction.

Let

p = 1.464646....

100P = 146.464646....

Subtract

99P = 145 ( NB The repeating decimals subtract to zero).

P - 145/99

P = 1 46/99 Note the subtle difference between repeating decimals and terminating decimals.

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lenpollock

Lvl 16
1mo ago

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