similarities and differences between ordinary fractions and rational expressions.
Chat with our AI personalities
All fractions with integer numerator and non-zero integer denominator are rational, and conversely.
Yes, mixed fractions are rational
There are infinitely many rational numbers between any two consecutive rational numbers. This is because rational numbers can be expressed as fractions, and between any two fractions, an infinite number of other fractions can be found by taking the average of the two given fractions. Therefore, the set of rational numbers is dense, meaning there is no smallest gap between any two rational numbers.
Fractions and decimals are usually rational numbers. Besides, multiplying rational and irrational numbers is also similar.
Rational expressions are fractions and are therefore undefined if the denominator is zero; the domain of a rational function is all real numbers except those that make the denominator of the related rational expression equal to 0. If a denominator contains variables, set it equal to zero and solve.