explain it why it happens
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• P/q form of 4.7(bar over 7) is 43/90
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Given :-
• 0.47(bar over 7)
To Find :-
• P/q form of this
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• Let 0.47(bar over 7) be x
Then,
➪ x = 0.47777...........
• Multiply both sides by 10
Then,
➪ 10x = 4.7777...........1]
• Multiply both sides by 100
Then,
➪ 100x = 47.7777..........2]
★ Subtract equation 1] from equation 2].
Then,
︎︎︎ 100x - 10x = 47 - 4
➪ 90x = 47 - 4
➪ 90x = 43
➪ x = 43/90
Hence, the p/q form of 0.47(bar over 7) is 43/90.
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