6th Grade Math (Math 6) · Chapter 2 · Lesson 2.1 · Printable PDF

Why Flipping the Second Fraction Works Worksheet with Answer Key

7 problems on why flipping the second fraction works: dividing like pieces, a shelf of model ships, quilt pieces, scoops and cups, a number machine that undoes another, and explaining a classmate's method. 3 pages, with a worked answer key.

7 problems3 pagesanswer key
Printable Why flipping the second fraction works worksheet with answer key - 6th Grade Math (Math 6) (Page 1 PDF preview)
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What's on the worksheet

  1. Find each quotient by dividing the numbers of like-sized pieces.
    \dfrac{9}{10} \div \dfrac{3}{10}\dfrac{7}{12} \div \dfrac{5}{12}\dfrac{4}{9} \div \dfrac{8}{9}\dfrac{13}{8} \div \dfrac{3}{8}\dfrac{2}{7} \div \dfrac{5}{7}
  2. Use the bar of the shelf to find how many model ships fit.
  3. Rewrite two lengths over a common denominator to count quilt pieces.
  4. Word problem: use 7 scoops filling 2 cups to find the scoop size.
  5. Find the machine that undoes the machine multiplying by 4/7.
  6. Use Mei's method to divide by 4/5 and explain why it always works.
  7. Fill in the blanks to show a quotient stays the same when both numbers are multiplied by the same number.

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Why flipping the second fraction works: the lesson ›