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Explain the similarities and the differences between fractions and rational expression?
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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
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.
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.
What are the similarities of fraction and rational?
All fractions with integer numerator and non-zero integer denominator are rational, and conversely.
What are dissimilar fractions or rational expressions?
For example: 1/2+1/4+1/8 are dissimilar fractions but also a rational expression that can be simplified to 7/8
What are the similarities between rational numbers and whole numbers?
They both can be expressed as fractions whereas irrational numbers can't be expressed as fractions.
Are fractions integers or rational numbers?
Fractions are not integers. They may or may not be rational numbers.
A rational expression minus another rational expression is?
Another rational expression.
A rational expression multiplied by another rational expression is a rational expression?
Yes.
Are mixed fractions rational?
Yes, mixed fractions are rational
What fraction having rational expression in its numerator or denominator or both?
If you divide a rational expression by another rational expression, you will again get a rational expression.
What fractions are rational numbers?
All fractions are rational numbers.
Are fractions irrational?
Fractions are rational by definition.
Is a rational number is a rational expression?
Any number that can be expressed as a fraction is a rational number otherwise it is an irrational number.
Are fractions irational numbers?
No, because all fractions are rational numbers
