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3B · Chapter 9 · review

Chapter review

Original cumulative chapter practice to consolidate taught ideas.

Original cumulative chapter practice to consolidate taught ideas. Solutions are available as revealable feedback and in a separate complete answer key. No answer submissions or accounts are required.

Assessment · 26 questions

Questions

Show your thinking; use diagrams when they help. Do not open solutions during your first attempt.

  1. A1

    A same-sized whole is split into 12 equal parts and 8 parts are shaded. What fraction is shaded?

    Reveal explanation

    Answer: 2/3

    The denominator counts all 12 equal parts; the numerator counts the 8 shaded parts. In simplest form this is 2/3.

    8/12
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  2. A2

    Between 0 and 1, a line is split into 8 equal intervals. What fraction is at the 3rd tick after 0?

    Reveal explanation

    Answer: 3/8

    Each interval represents 1/8. Moving 3 intervals from zero reaches 3/8, or 3/8 in simplest form.

    03/813/8
    An interval from zero to one divided into equal segments.
  3. A3

    Compare 1/3 and 2/3. Write > or <.

    Reveal explanation

    Answer: <

    Both fractions use pieces of size 1/3, so compare 1 pieces with 2 pieces: 1/3 < 2/3.

    1/32/3
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  4. A4

    Compare 4/6 and 4/12. Write > or <.

    Reveal explanation

    Answer: >

    There are 4 pieces in each fraction, but 1/6 is a larger piece than 1/12 when the whole is identical.

    4/64/12
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  5. A5

    A same-sized whole is split into 5 equal parts and 3 parts are shaded. What fraction is shaded?

    Reveal explanation

    Answer: 3/5

    The denominator counts all 5 equal parts; the numerator counts the 3 shaded parts. In simplest form this is 3/5.

    3/5
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  6. A6

    Between 0 and 1, a line is split into 10 equal intervals. What fraction is at the 9th tick after 0?

    Reveal explanation

    Answer: 9/10

    Each interval represents 1/10. Moving 9 intervals from zero reaches 9/10, or 9/10 in simplest form.

    09/1019/10
    An interval from zero to one divided into equal segments.
  7. A7

    Compare 7/8 and 2/8. Write > or <.

    Reveal explanation

    Answer: >

    Both fractions use pieces of size 1/8, so compare 7 pieces with 2 pieces: 7/8 > 2/8.

    7/82/8
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  8. A8

    Compare 6/8 and 6/10. Write > or <.

    Reveal explanation

    Answer: >

    There are 6 pieces in each fraction, but 1/8 is a larger piece than 1/10 when the whole is identical.

    6/86/10
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  9. A9

    A same-sized whole is split into 8 equal parts and 4 parts are shaded. What fraction is shaded?

    Reveal explanation

    Answer: 1/2

    The denominator counts all 8 equal parts; the numerator counts the 4 shaded parts. In simplest form this is 1/2.

    4/8
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  10. A10

    Between 0 and 1, a line is split into 8 equal intervals. What fraction is at the 1st tick after 0?

    Reveal explanation

    Answer: 1/8

    Each interval represents 1/8. Moving 1 intervals from zero reaches 1/8, or 1/8 in simplest form.

    01/811/8
    An interval from zero to one divided into equal segments.
  11. A11

    Compare 4/12 and 7/12. Write > or <.

    Reveal explanation

    Answer: <

    Both fractions use pieces of size 1/12, so compare 4 pieces with 7 pieces: 4/12 < 7/12.

    4/127/12
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  12. A12

    Compare 5/8 and 5/10. Write > or <.

    Reveal explanation

    Answer: >

    There are 5 pieces in each fraction, but 1/8 is a larger piece than 1/10 when the whole is identical.

    5/85/10
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  13. A13

    A same-sized whole is split into 5 equal parts and 4 parts are shaded. What fraction is shaded?

    Reveal explanation

    Answer: 4/5

    The denominator counts all 5 equal parts; the numerator counts the 4 shaded parts. In simplest form this is 4/5.

    4/5
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  14. A14

    Between 0 and 1, a line is split into 5 equal intervals. What fraction is at the 1st tick after 0?

    Reveal explanation

    Answer: 1/5

    Each interval represents 1/5. Moving 1 intervals from zero reaches 1/5, or 1/5 in simplest form.

    01/511/5
    An interval from zero to one divided into equal segments.
  15. A15

    Compare 1/10 and 2/10. Write > or <.

    Reveal explanation

    Answer: <

    Both fractions use pieces of size 1/10, so compare 1 pieces with 2 pieces: 1/10 < 2/10.

    1/102/10
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  16. A16

    Compare 2/8 and 2/10. Write > or <.

    Reveal explanation

    Answer: >

    There are 2 pieces in each fraction, but 1/8 is a larger piece than 1/10 when the whole is identical.

    2/82/10
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  17. A17

    A same-sized whole is split into 10 equal parts and 1 part is shaded. What fraction is shaded?

    Reveal explanation

    Answer: 1/10

    The denominator counts all 10 equal parts; the numerator counts the 1 shaded parts. In simplest form this is 1/10.

    1/10
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  18. A18

    Between 0 and 1, a line is split into 3 equal intervals. What fraction is at the 1st tick after 0?

    Reveal explanation

    Answer: 1/3

    Each interval represents 1/3. Moving 1 intervals from zero reaches 1/3, or 1/3 in simplest form.

    01/311/3
    An interval from zero to one divided into equal segments.
  19. A19

    Compare 8/10 and 7/10. Write > or <.

    Reveal explanation

    Answer: >

    Both fractions use pieces of size 1/10, so compare 8 pieces with 7 pieces: 8/10 > 7/10.

    8/107/10
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  20. A20

    Compare 1/12 and 1/3. Write > or <.

    Reveal explanation

    Answer: <

    There are 1 pieces in each fraction, but 1/3 is a larger piece than 1/12 when the whole is identical.

    1/121/3
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  21. A21

    A same-sized whole is split into 8 equal parts and 7 parts are shaded. What fraction is shaded?

    Reveal explanation

    Answer: 7/8

    The denominator counts all 8 equal parts; the numerator counts the 7 shaded parts. In simplest form this is 7/8.

    7/8
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  22. A22

    Between 0 and 1, a line is split into 12 equal intervals. What fraction is at the 11th tick after 0?

    Reveal explanation

    Answer: 11/12

    Each interval represents 1/12. Moving 11 intervals from zero reaches 11/12, or 11/12 in simplest form.

    011/12111/12
    An interval from zero to one divided into equal segments.
  23. A23

    Compare 2/4 and 3/4. Write > or <.

    Reveal explanation

    Answer: <

    Both fractions use pieces of size 1/4, so compare 2 pieces with 3 pieces: 2/4 < 3/4.

    2/43/4
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  24. A24

    Compare 1/8 and 1/4. Write > or <.

    Reveal explanation

    Answer: <

    There are 1 pieces in each fraction, but 1/4 is a larger piece than 1/8 when the whole is identical.

    1/81/4
    Each full bar represents the same-sized whole; shaded parts show the fraction.
  25. A25

    A student marks 1/5 at the first tick on a 0-to-1 line but drew only 4 equal intervals. Explain and correct the model.

    Reveal explanation

    Answer: 5 equal intervals

    To show 1/5, the full unit length must be divided into 5 equal intervals, not 4.

  26. A26

    A ribbon is split into 5 equal pieces; 3 are colored. Another ribbon is twice as long but also has 3 colored of 5 equal pieces. Are the colored lengths equal?

    Reveal explanation

    Answer: No

    Equal fractions of differently sized wholes need not represent equal physical lengths.

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