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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.
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.
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.
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