change in the form of p/ q
0.33333
5.22222
0.404040
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18
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• 0.3333.......
Let 0.3333...... be x
Then x = 0.3333....... (1)
10x = 3.3333........ (2)
Subtract (1) from (2)
Then,
9x = 3
= = > x = 3/9
= = > x = 1/3
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• 5.2222........
Let 5.2222....... be x
Then x = 5.2222........ (1)
10x = 52.2222........ (2)
Subtract (1) from (2)
Then,
9x = 50
= = > x = 50/9
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• 0.4040........
Let 0.4040........ be x
Then x = 0.4040........(1)
10x = 4.0404........(2)
100x = 40.4040........(3)
Subtract (1) from (3)
Then,
99x = 40
= = > x = 40/99
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