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You calculate this as follows.

Call your number x.

x = 0.325325325...

Multiply it by 1000 - this is 10 to the power 3, where 3 is the number of digits that repeat.

Now subtract 1000x minus x:

1000x = 325.325325325...
x = 0.325325325...
----------------------------------
999x = 325

Solving for x, x = 325 / 999. You must still check whether you can simplify this.

You calculate this as follows.

Call your number x.

x = 0.325325325...

Multiply it by 1000 - this is 10 to the power 3, where 3 is the number of digits that repeat.

Now subtract 1000x minus x:

1000x = 325.325325325...
x = 0.325325325...
----------------------------------
999x = 325

Solving for x, x = 325 / 999. You must still check whether you can simplify this.

You calculate this as follows.

Call your number x.

x = 0.325325325...

Multiply it by 1000 - this is 10 to the power 3, where 3 is the number of digits that repeat.

Now subtract 1000x minus x:

1000x = 325.325325325...
x = 0.325325325...
----------------------------------
999x = 325

Solving for x, x = 325 / 999. You must still check whether you can simplify this.

You calculate this as follows.

Call your number x.

x = 0.325325325...

Multiply it by 1000 - this is 10 to the power 3, where 3 is the number of digits that repeat.

Now subtract 1000x minus x:

1000x = 325.325325325...
x = 0.325325325...
----------------------------------
999x = 325

Solving for x, x = 325 / 999. You must still check whether you can simplify this.

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Wiki User

βˆ™ 15y ago
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ProfBot

βˆ™ 1mo ago

To convert a repeating decimal like .325 into a fraction, we can use the formula for repeating decimals: x = a/(10^n - 1), where a is the non-repeating part of the decimal and n is the number of repeating digits. In this case, a = 325 and n = 3 (since 325 is the repeating part). Therefore, .325 repeating is equivalent to 325/999 as a fraction.

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Wiki User

βˆ™ 15y ago

You calculate this as follows.

Call your number x.

x = 0.325325325...

Multiply it by 1000 - this is 10 to the power 3, where 3 is the number of digits that repeat.

Now subtract 1000x minus x:

1000x = 325.325325325...
x = 0.325325325...
----------------------------------
999x = 325

Solving for x, x = 325 / 999. You must still check whether you can simplify this.

This answer is:
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Very Thick Nub

Lvl 2
βˆ™ 3y ago

325/999

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Q: .325 repeating is equivalent to what fraction?
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