express each of the following decimals in the rational form p by q 1.24 bar
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We have to write 1.242424... in the form of p/q
Let x = 1.242424. . . - - - - - - - - -(1)
Multiplying both sides by 100 since two digits are repeating.
100x = 100 × 1.242424...
100x = 124.242424... - - - - - - - - -(2)
subtract equation (1) from equation (2)
100x - x = 124.242424... - 1.242424...
99x = 123
x = 123/99
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