Multiplying Rational Expressions Step 1:- Factor all numerators and denominators as completely as possible. Step 2:- Apply the fundamental property. Step 3 :- Multiply remaining factors in…
Tag: Rational
Fundamental Property of Rational Numbers
Fundamental Property of Rational Numbers If is a rational number and if c is any nonzero real number, then = . In words, the numerator and denominator of…
Sets of Numbers
Sets of Numbers Natural numbers or counting numbers {1, 2, 3, 4, 5, 6, . . . } Whole numbers {0, 1, 2, 3, 4, 5, 6,…
Simplifying Complex Rational Expressions
Simplifying Complex Rational Expressions A complex rational expression, or complex fraction expression, is a rational expression that has one or more rational expressions within its numerator or denominator. Here are…
Subtracting Rational Expressions
Subtracting Rational Expressions We subtract rational expressions as we do rational numbers. To subtract when the denominators are the same, subtract the numerators and keep the same denominator. Then simplify…
Adding Rational Expressions
Adding Rational Expressions Adding Rational Expression with Like Denominators To add when the denominators are the same, add the numerators and keep the same denominator. Then simplify if possible.…
Rational Expressions and Replacements
Rational Expressions and Replacements Rational numbers are quotients of integers. Some examples are , , . The following are called rational expressions or fraction expressions. They are quotients,…
Rational Inequalities
Rational Inequalities We adapt the preceding method when an inequality involves rational expressions. We call these rational inequalities. To solve a rational inequality: a. Change the inequality symbol to…
Negative Rational Exponents
Negative Rational Exponents Negative rational exponents have a meaning similar to that of negative integer exponents. a-m/n For any rational number m/n and any positive real number a, a-m/n…
Rational Exponents
Rational Exponents Expressions like a1/2 , 5-1/4 ,and (2y)4/5 have not yet been defined. We will define such expressions so that the general properties of exponents hold. Consider a1/2.a1/2. If…
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