Repeating Decimal Calculator
Ava Arnold
Published Jan 20, 2026
Evaluate the following repeating decimal
8.32
Evaluate the repeated piece
The repeated piece 32 has a length of 2
Therefore, we setup two equations
Equation 1: x = 8.32
Equation 2: 100x = 102 100x 8.32
100x = 100 x 8.32
100x = 832
Subtract equations
Therefore, we have 100x - x = 832 - 8.32
99x = 832
Divide each side by 99
| x = | 832 |
| 99 |
Final Answer
832/99
You have 1 free calculations remaining
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?
- decimal
- Number in the form a/b where the result is not a whole number
- denominator
- The bottom portion of a fraction. For a/b, b is the denominator
- equation
- a statement declaring two mathematical expressions are equal
- fraction
- how many parts of a certain size exist
a/b where a is the numerator and b is the denominator - number
- an 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.
- numerator
- the number above the line in a common fraction
- repeating decimal
- a decimal fraction in which a figure or group of figures is repeated indefinitely, as in 0.1111
