The decimal expansion of an irrational number never repeats or terminates (the latter being equivalent to repeating zeroes), unlike any rational number.

Irrational Numbers: Any real number that cannot be written in fraction form is an irrational number. These numbers include non-terminating, non-repeating decimals, for example , 0.45445544455544445555…, or . All four of these numbers do name points on the number line, but they cannot all be written as integer ratios.

Repeating decimals are considered rational numbers because they can be represented as a ratio of two integers.

An irrational number can be expressed as a non-repeating, non-terminating decimal. Take π, for example. It is an irrational number that does not have the same number repeat, and it never ends.

So 1/7 is a non-terminating decimal.

A non-terminating, non-repeating decimal is a decimal number that continues endlessly, with no group of digits repeating endlessly. Decimals of this type cannot be represented as fractions, and as a result are irrational numbers.

To determine whether a given fraction, such as 4/5, can be written as a terminating or repeating decimal, divide the denominator into the numerator of the fraction. Since 5 divided into 4 is 0.8, 4/5 can be written as a terminating decimal.

0.375

37.5%

3.5

Equivalent Expression Calculator is a free online tool that displays the equivalent expressions for the given algebraic expression. BYJU’S online equivalent expression calculator tool makes the calculations and simplification faster and it displays the equivalent expression in a fraction of seconds.

150%

Equivalent ratios are ratios that make the same comparison of numbers. Two ratios are equivalent if one can be expressed as a multiple of the other.

Fractions equivalent to 1/5 are 2/10, 3/15, 4/20, 5/25, Fractions equivalent to 2/5 are 4/10, 6/15, 8/20, 10/25.