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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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.
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.
It is: 34/99 = 0.343434 .....repeating
The fraction equivalent to the repeating decimal 3.242424 in lowest terms is: 405303/125000
5/9
The decimal .66 repeating is equal to the fraction 2/3.
5/9 = .55555 repeating