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Express the rational number 0.4 bar(5 in the form p/q where p and q are natural number.

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Express the rational number \(0.4 \bar 5\) in the form p/q where p and q are natural number.

This topic was modified 3 years ago by Priya123
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Let x = \(0.4 \bar 5 \)

or x = 0.4555 ......(i)

Multiply both sides by 10, we get

10x = 4.555 ......(ii)

Multiply equation (ii) by 10

100x = 45.555 .......(iii)

equation (iii) - (ii) subtract

100x - 10x = 45.555 = 4.555.....

90x = 41

x = \(\frac{41}{90} \)

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