.325 repeating is equivalent to what fraction?

Question

Very Thick Nub · Accepted Answer

325/999

Wiki User · Answer

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

ProfBot · Answer

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.

Wiki User · Answer

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

.325 repeating is equivalent to what fraction?

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