Evaluate the repeated piece
The repeated piece 57 has a length of 2Therefore, we setup two equations.
Equation 1: x = 4.57
Equation 2: 100x = 102 100x 4.57
100x = 100 x 4.57
100x = 457
Therefore, we have 100x - x = 457 - 4.57
99x = 457
Divide each side by 99
x = | 457 |
99 |
457/99


What is the Answer?
How does the Repeating Decimal Calculator work?
Free Repeating Decimal Calculator - Evaluates and simplifies a repeating decimal
This calculator has 2 inputs.
What 3 formulas are used for the Repeating Decimal Calculator?
For a number n, calculate number of decimal places to the right of the decimal, call this dSetup an equation where 10dx - x = n * 10d
Isolate x to determine the fraction
For more math formulas, check out our Formula Dossier
What 7 concepts are covered in the Repeating Decimal Calculator?
decimalNumber in the form a/b where the result is not a whole numberdenominatorThe bottom portion of a fraction. For a/b, b is the denominatorequationa statement declaring two mathematical expressions are equalfractionhow many parts of a certain size exista/b where a is the numerator and b is the denominatornumberan arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.numeratorthe number above the line in a common fractionrepeating decimala decimal fraction in which a figure or group of figures is repeated indefinitely, as in 0.1111
Example calculations for the Repeating Decimal Calculator
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