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  • https://math.libretexts.org/Bookshelves/Applied_Mathematics/Calculus_for_Business_and_Social_Sciences_Corequisite_Workbook_(Dominguez_Martinez_and_Saykali)/09%3A_Rational_Expressions/9.03%3A_Add_and_Subtract_Rational_Expressions
    To add or subtract rational expressions, think of this as fractions with variables. A common denominator (called the LCD) is needed for addition and subtraction. To find the LCD, first fully factor al...To add or subtract rational expressions, think of this as fractions with variables. A common denominator (called the LCD) is needed for addition and subtraction. To find the LCD, first fully factor all denominators. Build the LCD from the factors found in all denominators. Multiply each factor the greatest number of times it occurs in either expression. If the same factor occurs more than once in both expressions, multiply the factor the greatest number of times it occurs in either expression.
  • https://math.libretexts.org/Bookshelves/Mathematical_Logic_and_Proof/Gentle_Introduction_to_the_Art_of_Mathematics_(Fields)/01%3A_Introduction_and_Notation/1.05%3A_Some_Algorithms_of_Elementary_Number_Theory
    An algorithm is simply a set of clear instructions for achieving some task. The Persian mathematician and astronomer Al-Khwarizmi1 was a scholar at the House of Wisdom in Baghdad who lived in the 8th...An algorithm is simply a set of clear instructions for achieving some task. The Persian mathematician and astronomer Al-Khwarizmi1 was a scholar at the House of Wisdom in Baghdad who lived in the 8th and 9th centuries A.D. He is remembered for his algebra treatise Hisab al-jabr w’al-muqabala from which we derive the very word “algebra,” and a text on the Hindu-Arabic numeration scheme.
  • https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/03%3A_Exponents_Roots_and_Factorization_of_Whole_Numbers/3.05%3A_The_Least_Common_Multiple
    For the GCF, we attach the smallest exponents to the common bases, whereas for the LCM, we attach the largest exponents to the bases. \(\begin{array} {ccll} {90} & = & {2 \cdot 45 = 2 \cdot 3 \cdot 15...For the GCF, we attach the smallest exponents to the common bases, whereas for the LCM, we attach the largest exponents to the bases. 90=245=2315=2335=2325630=2315=23105=23335=23357 =23257

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