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Cogito

Grade 3 Math · Chapter 5 · Lesson 4

Practice Worksheet

Fractions on the Number Line

A fraction is a number, so it has a place.

10 problems · about 14 minutes · 3.NF.A.2

NameDate

Figures — use these to answer the problems

The small blue marks are fourths. Count them from 0.
0121/42/43/41/42/43/4
Whole number marker0
Figure 1
These marks are not evenly spaced, so they cannot name fourths.
011/42/43/4
Marker0
Figure 2

Warm-Up Review

From earlier lessons. Loosen up before the new work.

3 problems

  1. From “Fractions as Copies of a Unit”

    How many copies of 1/8 make 5/8?

    Answer

  2. From “Unit Fractions”

    Which is bigger, 1/4 or 1/6?

    • 1/4
    • 1/6

  3. From “Equal Parts of a Whole”

    A shape cut into 5 equal parts. What is the denominator?

    Answer

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. A line cut into 5 parts. How many parts along is 2/5?

    Answer

  2. Where do you start counting on the line?

    • At 0.
    • At 1.

  3. A line cut into 4 parts. How many parts along is 3/4?

    Answer

Build It Up

The same ideas with more to keep track of.

1 problem

  1. How many equal parts do you cut for eighths?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

3 problems

  1. Must the marks be evenly spaced?

    • Yes. Otherwise the parts are not equal.
    • No. Any spacing works.

  2. Reading the Line

    A line from 0 to 1 is cut into 6 parts. A dot sits on the fifth mark. What fraction is it?

    Answersixths

  3. Halfway

    On a line cut into 8 parts, which mark is halfway between 0 and 1?

    Answereighths