Expressing decimal in p/q
Convert 0.123333 .. to p/q form where p and q are integers and q ≠ 0
Convert 0.575757.. to p/q form where p and q are integers and q ≠ 0
Convert 2.4(178).. to p/q form where p and q are integers and q ≠ 0
Expressing numbers in p/q form
Example 6
Example 7 Important
Ex 1.3, 3 (i) Deleted for CBSE Board 2024 Exams
Ex 1.3,4 Important
Example 8 You are here
Example 9 Important
Expressing decimal in p/q
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Example 8 Show that 1.272727 = 1.(27) can be expressed in the form / , where p and q are integers and q 0. Let x = 1.(27) = 1.272727 Multiplying equation (1) with 100 100x = 100 (1.272727 ) 100x = 127.2727 Subtracting (2) from (1) i.e. (2) (1) 100x x = 127.2727 1.272727 99x = 126.0000 x = 126/99 x = 14/11 Thus, 1.(27) = 14/11
