Question

Using algebra, prove that 0.136 (3,6 recurring) is equal in value to 1/33.

Answer 1

0.1363636... = 3/22

Explanation:

Let x = 0.1363636...

100x = 13.6363636...

(-) x = 0.1363636...

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99x = 13.5

x = 13.5/99

x = 135/990

x = 27/198

x = 9/66

x = 3/22

0.1363636... = 3/22

0.1363636... is not equal to 1/33.

1/33 = 0.030303...