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What are the similarities of fraction and rational?
All fractions with integer numerator and non-zero integer denominator are rational, and conversely.
Are mixed fractions rational?
Yes, mixed fractions are rational
How many rational numbers are there between two consecutive rational numbers?
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.
How is multiplying rational numbers like multiplying fractions and multiplying decimals?
Fractions and decimals are usually rational numbers. Besides, multiplying rational and irrational numbers is also similar.
Why can't the denominators of rational expressions be zero How can we find the domain of a rational function?
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.
