Skip to content
calces icon Try CalcES Scientific Calculator Online

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.

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}

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}