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3.141414 as a fraction

Updated: 4/28/2022
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Wiki User

7y ago

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3.141414 = 3141414/1000000 = 1570707/500000 = 3 70707/500000

If the 14 repeats:

3.141414... = (314.141414... - 3.141414...)/(100 - 1) = 311/99 = 3 14/99

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7y ago
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Wiki User

7y ago

Assuming the "1414" repeats indefinitely, you solve this as follows.You write:

x = 3.141414...

and:

100x = 314.141414...

You subtract the first equation from the second, and solve the equation for "x", as a fraction.

Note that I multiplied by 100 in this case - two zeros - because the repeated pattern has two digits.

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7y ago

3.141414 is a fraction. It is a fraction in decimal form rather than in the form of a ratio. However, that does not stop it being a fraction. Its equivalent, in rational form, is 3.141414/1000000. You can simplify this rational fraction if required.

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Hamir Saxton

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3y ago

3.141414

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