1.

Express 13. 457777........... in p/q form ​

Answer»

\huge{Answer}

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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