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- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/04%3A_Introduction_to_Fractions_and_Multiplication_and_Division_of_Fractions/4.04%3A_Multiplication_of_Fractions\(\begin{array} {rcl} {\dfrac{11}{8} \cdot 4 \dfrac{1}{2} \cdot 3 \dfrac{1}{8}} & = & {\dfrac{11}{8} \cdot \dfrac{\begin{array} {c} {^3} \\ {\cancel{9}} \end{array}}{\begin{array} {c} {\cancel{2}} \\ ...\(\begin{array} {rcl} {\dfrac{11}{8} \cdot 4 \dfrac{1}{2} \cdot 3 \dfrac{1}{8}} & = & {\dfrac{11}{8} \cdot \dfrac{\begin{array} {c} {^3} \\ {\cancel{9}} \end{array}}{\begin{array} {c} {\cancel{2}} \\ {^1} \end{array}} \cdot \dfrac{\begin{array} {c} {^5} \\ {\cancel{10}} \end{array}}{\begin{array} {c} {\cancel{3}} \\ {^1} \end{array}}} \\ {} & = & {\dfrac{11 \cdot 3 \cdot 5}{8 \cdot 1 \cdot 1} = \dfrac{165}{8} = 20 \dfrac{5}{8}} \end{array}\)
- https://math.libretexts.org/Courses/Northeast_Wisconsin_Technical_College/College_Technical_Math_1A_(NWTC)/01%3A_Operations_with_Real_Numbers/1.04%3A_FractionsThis page covers the concept of fractions, including definitions, simplification, and various operations like addition, subtraction, multiplication, and division, with a focus on mixed numbers. It pro...This page covers the concept of fractions, including definitions, simplification, and various operations like addition, subtraction, multiplication, and division, with a focus on mixed numbers. It provides real-life contexts, exercises for practice, and answers for self-checking.
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/05%3A_Addition_and_Subtraction_of_Fractions_Comparing_Fractions_and_Complex_Fractions/5.08%3A_Exercise_Supplement\(\dfrac{1}{4} + \dfrac{1}{8} + \dfrac{1}{4}\) \(5 \dfrac{2}{3} + 8 \dfrac{1}{5} - 2 \dfrac{1}{4}\) \(\dfrac{11}{12} + \dfrac{1}{9} - \dfrac{1}{16}\) \(8 \dfrac{3}{5} - 1 \dfrac{1}{14} \cdot \dfrac{3}...\(\dfrac{1}{4} + \dfrac{1}{8} + \dfrac{1}{4}\) \(5 \dfrac{2}{3} + 8 \dfrac{1}{5} - 2 \dfrac{1}{4}\) \(\dfrac{11}{12} + \dfrac{1}{9} - \dfrac{1}{16}\) \(8 \dfrac{3}{5} - 1 \dfrac{1}{14} \cdot \dfrac{3}{7}\) \(\dfrac{3 \dfrac{1}{4} + 2 \dfrac{1}{8}}{5 \dfrac{1}{6}}\) \(\dfrac{3 + 2 \dfrac{1}{2}}{\dfrac{1}{4} + \dfrac{5}{6}}\) \(\dfrac{1 \dfrac{2}{3} \cdot (\dfrac{1}{4} + \dfrac{1}{5})}{1 \dfrac{1}{2}}\) \(\dfrac{2}{9}, \dfrac{1}{3}, \dfrac{1}{6}\)
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/04%3A_Introduction_to_Fractions_and_Multiplication_and_Division_of_Fractions/4.08%3A_Exercise_SupplementExercise \(\PageIndex{1}\) Exercise \(\PageIndex{2}\) Exercise \(\PageIndex{3}\) Exercise \(\PageIndex{4}\) Exercise \(\PageIndex{5}\) Exercise \(\PageIndex{6}\) Exercise \(\PageIndex{7}\) Exercise \(...Exercise \(\PageIndex{1}\) Exercise \(\PageIndex{2}\) Exercise \(\PageIndex{3}\) Exercise \(\PageIndex{4}\) Exercise \(\PageIndex{5}\) Exercise \(\PageIndex{6}\) Exercise \(\PageIndex{7}\) Exercise \(\PageIndex{8}\) Exercise \(\PageIndex{9}\) Exercise \(\PageIndex{10}\) Exercise \(\PageIndex{11}\) Exercise \(\PageIndex{12}\) Exercise \(\PageIndex{13}\) Exercise \(\PageIndex{14}\) Exercise \(\PageIndex{15}\) Exercise \(\PageIndex{16}\) Exercise \(\PageIndex{17}\) Exercise \(\PageIndex{18}\)
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/05%3A_Addition_and_Subtraction_of_Fractions_Comparing_Fractions_and_Complex_Fractions/5.07%3A_Summary_of_Key_ConceptsTo add or subtract two fractions that have the same denominators, add or subtract the numerators and place the resulting sum or difference over the common denominator. To add or subtract fractions ha...To add or subtract two fractions that have the same denominators, add or subtract the numerators and place the resulting sum or difference over the common denominator. To add or subtract fractions having unlike denominators, convert each fraction to an equivalent fraction having as denominator the LCD of the original denominators. If two fractions have the same denominators, the fraction with the larger numerator is the larger fraction.
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/04%3A_Introduction_to_Fractions_and_Multiplication_and_Division_of_Fractions/4.02%3A_Proper_Fractions_Improper_Fractions_and_Mixed_NumbersNow that we know what positive fractions are, we consider three types of positive fractions: proper fractions, improper fractions, and mixed numbers.
- https://math.libretexts.org/Courses/Santiago_Canyon_College/HiSet_Mathematica_(Lopez)/07%3A_Introduccion_a_las_Fracciones_y_Multiplicacion_y_Division_de_Fracciones/7.02%3A_Fracciones_propias_fracciones_impropias_y_numeros_mixtosAhora que sabemos qué son las fracciones positivas, consideramos tres tipos de fracciones positivas: fracciones propias, fracciones impropias y números mixtos.
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/04%3A_Introduction_to_Fractions_and_Multiplication_and_Division_of_Fractions/4.09%3A_Proficiency_ExamExercise \(\PageIndex{1}\) Shade a portion that corresponds to the fraction \(\dfrac{5}{8}\) Exercise \(\PageIndex{2}\) Specify the numerator and denominator of the fraction \(\dfrac{5}{9}\). Exercise...Exercise \(\PageIndex{1}\) Shade a portion that corresponds to the fraction \(\dfrac{5}{8}\) Exercise \(\PageIndex{2}\) Specify the numerator and denominator of the fraction \(\dfrac{5}{9}\). Exercise \(\PageIndex{3}\) Exercise \(\PageIndex{4}\) Exercise \(\PageIndex{5}\) Which of the fractions is a proper fraction? \(4 \dfrac{1}{12}\), \(\dfrac{5}{12}\), \(\dfrac{12}{5}\) Exercise \(\PageIndex{6}\) Exercise \(\PageIndex{7}\) \(\dfrac{8}{15} \cdot \dfrac{5}{12} \div 2 \dfrac{4}{9}\)
- https://math.libretexts.org/Bookshelves/PreAlgebra/Fundamentals_of_Mathematics_(Burzynski_and_Ellis)/05%3A_Addition_and_Subtraction_of_Fractions_Comparing_Fractions_and_Complex_Fractions
