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Assuming that 0.644444444 is a recurring decimal

0.6444... = 29/45

The steps in working it out. Let x = 0.0444...., then

100x = 4.4444....

=> 100x - x = 4.4

=> 99x = 4.4

=> x = 4.4/99

= 44/990

= 4/90

= 2/45

So

0.6444... = 0.6 + 0.0444...

= 3/5 + 2/45

= 27/45 + 2/45

= 29/45

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