express the following in the rational form p/q( 1) 12.2bar8
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Answer:
x=12.2 8bar
10x=10*12.28888...
=> 10x=122.8888...
=> 10x=110.6+12.28888...
=> 10x=110.6+x
=> 10x-x= 110.6
=> 9x=110.6
=> x=110.6/9
=> x=1106/90
=> x=553/45
.·. The p/q form of 12.2 8bar is 553/45.
Answered by
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Let x = 12.28888... ( Equation 1)
10x = 122.88888.. (Equation 2)
100x = 1228.88888... (Equation 3)
Subtract Equation 2 from Equation 3
100x - 10x = 1228.88888... - 122.88888..
90x = 1106
x = 1106/90 = 553/45
p/q form of 12.2 bar 8 is 553/45
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