Question

express 23.3454545..... in the form of p/q ​

Answer 1

Answer:HEY MATE!

LET X=23.34545....(1)

MULTIPLY THE EQUATION BY 1000 AS ITS PERIODICITY IS 3

WE GET, 1000X=23345.454545....(2)

SUBTRACT EQUATION 1 FROM EQUATION 2

1000X=23345.45

-        X=        23.45

-----------------------------

999X=23322.0     .......(3)

BY EQUATION 3, WE GET,

X=23322/999

X=7774/333

HENCE HERE THE p/q FORM OF 23.3454545...    IS 7774/333

HOPE IT HELPS!

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