Repeated Decimal in CalcES
A repeated decimal, also known as a recurring decimal or a periodic decimal, is a decimal representation of a rational number where one or more digits repeat infinitely.
For example, in the decimal representation of 31, which is 0.33333..., the digit ‘3’ repeats infinitely. Similarly, 72 is represented as 0.285714285714..., where the sequence ‘285714’ repeats indefinitely.
Repeated decimal key in CalcES Scientific Calculator
Press ALPHA x² (0.x̅) to insert the repeating part of a repeated decimal.
![Press `ALPHA` `x²` to insert the repeating part of a repeated decimal.](/docs/_astro/img.Djd4ok_I_5DH9e.webp)
Repeated decimal calculation example
Calculating the sum of two repeated decimal:
1.4245+3.6=333316969
![1.\overline{4245} + 3.\overline{6} = \frac{16969}{3333}](/docs/_astro/img_1.XEXCn6PA_Zz5X88.webp)
Converting a fraction to repeating decimal
To convert a fraction to repeated decimal, tap the fraction result to show alternative forms, which includes repeated decimal form.
Using the previous example, the result is equal to 5.0912
1.4245+3.6=5.0912
![1.\overline{4245} + 3.\overline{6} = 5.\overline{0912}](/docs/_astro/img_2.B1Any2ib_4QpDV.webp)