Express 13. 457777........... in p/q form
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here given that :- 13.4577777...
let x be = 13.4577777... ---(i)
multiplying both sides by 100
x × 100 = 13.4577777... × 100
100x = 1345.777777... ---(ii)
subtracting equation (i) from equation (ii)
100x - x = 1345.777777... - 13.45777777...
99x = 1332.32
x = 1332.32/99
now, in the form of p/q both p and q must be integers
but here p is not a integer.
so let's multiply both p and q by 100
x = (1332.32 × 100)/(99 × 100)
x = 133232/900 = 3028/225
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