Can someone plssssssssss help me with this maths question. . . Prove that the recurring decimal 0.15 has the value 5/33

asked Dec 2, 2018 126k views

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Can someone plssssssssss help me with this maths question.

. .
Prove that the recurring decimal 0.15 has the value 5/33

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$x=0.\overline{15}\\100x=15.\overline{15}\\\\100x-x=15.\overline{15}-0.\overline{15}\\99x=15\\x=(15)/(99)=(5)/(33)$

Ppwater answered Dec 3, 2018

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x = 0,(15) | * 100
100x = 15,(15) | - 0,(15)
99x = 15 | ÷ 99
x = 15/99 = 5/33

Myo Min Han answered Dec 8, 2018

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