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What is 0.14 4 recurring as a fraction

asked
User Shining
by
8.8k points

1 Answer

3 votes

Answer:

0.1414... in a fraction is 14/99

Explanation:

Given the number 0.1414...

we have to represent the above in terms of fraction

Let x=0.1414.... → (1)

Multiplying by 100 on both sides

100x=14.1414.... → (2)

Subtract (1) from (2), we get

99x=14

x=14/99

hence, 0.1414... in a fraction is 14/99

answered
User Rumen Hristov
by
8.5k points

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