6th Grade Math (Math 6) · Chapter 7 · Lesson 7.5 · Printable PDF

Finding a Fraction Between Two Fractions Worksheet with Answer Key

8 problems on finding a fraction between two fractions: halfway fractions and decimals, counting fractions with one denominator, negative fractions, drill bits, a common denominator method, a shortcut that may fail, and a number line. 2 pages, with a worked answer key.

8 problems2 pagesanswer key
Printable Finding a fraction between two fractions worksheet with answer key - 6th Grade Math (Math 6) (Page 1 PDF preview)
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What's on the worksheet

  1. Find the fraction exactly halfway between each pair, in lowest terms.
    \dfrac{3}{8} and \dfrac{5}{8}\dfrac{1}{4} and \dfrac{1}{2}\dfrac{3}{4} and \dfrac{5}{6}\dfrac{2}{5} and \dfrac{3}{7}2\dfrac{1}{4} and 2\dfrac{1}{2}
  2. Find the decimal exactly halfway between each pair.
    1.4 and 1.50.08 and 0.093.9 and 46.25 and 6.30.1 and 0.12
  3. Count the fractions with denominator 30 between 1/5 and 1/2.
  4. Find fractions between negative fractions.
  5. Word problem: find a drill bit size between two sizes in Carlos's set.
  6. Check Mia's method for the fraction halfway between 2/5 and 3/5.
  7. Test Isaac's shortcut of adding numerators and denominators.
  8. Name numbers at points on a number line with evenly spaced ticks.

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The free lesson teaches it with worked examples and practice problems.

Finding a fraction between two fractions: the lesson ›