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What is 0.14 repeating as a fraction

1 Answer

3 votes

Answer:

14/99

Explanation:

Let x = 0.141414...

Because the repeating pattern has 2 digits, multiply both sides by 100.

100x = 14.141414...

Now subtract the equation x = 0.141414... from the equation 100x = 14.141414...

100x = 14.141414...

- x = 0.141414...

------------------------------

99x = 14

Divide both sides by 99.

x = 14/99

Answer: 14/99

User Warren Weckesser
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