Question

express 2.245(bar on 45) in p/q form​

Answer 1

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Answer 2

Answer: 247÷110 (÷ means upon)

Step-by-step explanation:

2.245 (45 bar)=2.24545....

22÷10 + 0.4545...÷10     (divide means upon)

let x=0.4545...

multiplying 100 both the sides we get

100x=45.4545...

100x=45+x     ( as x= 0.4545...)

100x-x=45

99x=45

x=45÷99   (÷ means upon)

x=5÷11 (after cancel of 405 ÷ 99)

x=5÷11

so substituting value in 22÷10 + 0.4545...÷10

so we know x=0.4545...=5÷11

so  22÷10 + 5÷10×11

22÷10 + 5÷110

taking lcm of 10 and 110 we get 110 as lcm

22×11+5 ÷ 110  (÷ means upon)

242+5 ÷ 110

ans=247÷110

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