A terminating decimal can be written as a fraction by using properties of place value. For example, 3.75 = three and seventy-five hundredths or 3 75 100 , which is equal to the improper fraction .

Decimals of this type cannot be represented as fractions, and as a result are irrational numbers. Pi is a non-terminating, non-repeating decimal. π = 3.141 592 653 589 793 238 462 643 383 279 ... e is a non-terminating, non-repeating decimal.

In decimal form it is 0.125, which is a terminating decimal. The fraction 29/200 is 0.145 as a decimal, which is another terminating decimal. 51.202211 is also a terminating decimal because the number ends after the last 1. Terminating decimals can also repeat, but they must still have an end, such as 0.4545.

Answer: 0.6 repeating as a fraction is equal to 2/3.