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Adding and Subtracting Fractions with Unlike Denominators

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Intros
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Lessons
  1. Simplify fractions: Method A - By using greatest common factors
  2. Simplify fractions: Method B - By using common factors
  3. What are equivalent fractions?
  4. How to add fractions?
  5. How to subtract frations?
    • subtracting with improper fractions
    • subtracting with mixed numbers
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Examples
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Lessons
  1. Determine the Lowest Common Denominator of Two Fractions
    Determine the lowest common denominator (LCD) for the pair of fractions using multiples.
    1. 24,18\frac{2}{4},\frac{1}{8}
    2. 811,733\frac{8}{11},\frac{7}{33}
    3. 46,59\frac{4}{6},\frac{5}{9}
  2. Evaluate Equivalent Fractions Using the Lowest Common Denominator
    Determine the lowest common denominator (LCD) for the pair of fractions using multiples. Then, determine equivalent fractions for the pair of fractions using the LCD.
    1. 712,24\frac{7}{12},\frac{2}{4}
    2. 12,13\frac{1}{2},\frac{1}{3}
    3. 810,815\frac{8}{10},\frac{8}{15}
  3. Word Problems: Adding And Subtracting Fractions With Unlike Denominators
    Calculate using the four square method. Write the answer in the lowest terms.
    1. 36+14\frac{3}{6}+\frac{1}{4}
    2. 45−13\frac{4}{5}-\frac{1}{3}
    3. 23+210\frac{2}{3}+\frac{2}{10}
    4. 810−3280\frac{8}{10}-\frac{32}{80}
  4. Word Problems: Adding And Subtracting Fractions With Unlike Denominators
    A cargo ship was 18\frac{1}{8} full of food containers and 24\frac{2}{4} full of furniture. How much space was left?
  5. Kate baked a tray of muffins for her two friends, Mary and Stephanie. Mary ate 13\frac{1}{3} of the muffins and Stephanie ate 36\frac{3}{6} of the muffins. What fraction of the muffins did the two friends eat in total?