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Fraction Strips and Equivalence

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Fraction Strips and Equivalence

Use the fraction strips and number lines to help you think. Show your working where needed.

Unit fractions

1.Which statement describes a unit fraction?
  • Its numerator is 1.
  • Its denominator is 1.
  • Its numerator and denominator are equal.
  • It is always greater than one-half.
2.Select all the unit fractions.
  • 1/7
  • 4/9
  • 1/12
  • 3/10
  • 1/5
3.Put these unit fractions in order from smallest to largest: 1/3, 1/10, 1/5, 1/8, 1/2.
00.10.20.30.40.50.60.70.80.91

Equivalent fractions

4.Match each fraction on the left with its equivalent fraction from the right-hand pool. A choice may be used more than once.
  • 2/6
  • 6/8
  • 4/10
  • 3/9
  • 5/10
  • 2/5
  • 1/3
  • 1/2
  • 1/3
  • 3/4
5.Fill the box so the fractions are equivalent: 3/5 = □/20.
6.Fill the box so the fractions are equivalent: 4/7 = 12/□.
7.Write 6/15 as an equivalent fraction with a denominator of 5.
8.True or false: 8/12 is equivalent to 2/3.
TrueFalse
9.True or false: 5/8 is equivalent to 2/3.
TrueFalse

Fraction strips

10.The top strip is divided into 4 equal parts and 1 part is shaded. The bottom strip is divided into 8 equal parts. How many parts of the bottom strip should be shaded to show the same amount?
11.Draw a fraction strip divided into 6 equal parts. Shade 4 parts, then write the fraction you shaded in simplest form.
12.A fraction strip has 10 equal parts and 5 are shaded. Write the shaded amount as a fraction and as an equivalent fraction with denominator 2.

Compare and solve

13.Insert <, > or = to make this statement correct: 1/7 1/9.
00.10.20.30.40.50.60.70.80.91
14.Insert <, > or = to make this statement correct: 3/8 6/16.
15.Which is greater: 5/6 or 5/8?
  • 5/6
  • 5/8
  • They are equal.
  • There is not enough information.
16.A tray of 12 equal-sized pikelets has 3 eaten. What fraction of the tray has been eaten? Give the fraction in simplest form.
17.Hemi ate 3/8 of a loaf of bread. Charlotte ate 1/2 of an identical loaf. Who ate more, and by what fraction of a loaf?
18.Complete the pattern: 2/12, 4/12, 6/12, ___/12, 10/12. Write the fraction in the pattern that is equivalent to 2/3.
19.Draw a fraction strip to show why 3/6 and 1/2 name the same amount. Label both fractions.

4 printable pages

  • Unit fractions and ordering fractions on a number line.

    Page 1

  • Matching, completing and checking equivalent fractions.

    Page 2

  • Drawing and interpreting fraction strips.

    Page 3

  • Comparing fractions and solving equivalence problems.

    Page 4

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