express 0.1254 (bar on 1254) in the form p/q
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We need to express given repeated decimal expansion in p/q form.
let x = 0.125454... ...............(1)
multiply both sides by 100.
100x = 12.545454... .....................(2)
subtract (1) from (2)
100x - x = 12.545454... - 0.125454...
99x = 12.42
x = 12.42/99
x = 1242/9900
x = 69/500
Therefore, 4.
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Answer:
38/303
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