# Rational Numbers

A **rational number** is a number that can be written as a quotient of two integers. Whole numbers and integers are part of the set of rational numbers, as shown in Venn diagram.

**Terminating and Repeating Decimals:** If you take a rational number in the form a/b and carry out the division of *a* by *b*, the quotient will be either a terminating decimal or a repeating decimal. In a terminating decimal, the division ends because you obtain a final remainder of zero.
In a repeating decimal, a digit or block of digits in the quotient repeats without end.

**Writing Decimals as Fractions:** To write a terminating decimal as a fraction or a mixed number, use the place of the last digit to determine the denominator of the fraction.

Read the explanation below to learn more about rational numbers.

**Practice: **Answer the following exercises about rational numbers.