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Math / Fractions / Grade 3 / mf3n1

Place Fractions on a Number Line - Practice 1

Locate zero, parts of a whole and positions beyond one.

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The distance from 0 to 1 is one whole. Keep that distance fixed. The denominator names equal intervals per whole; the numerator counts intervals traveled from zero. Count gaps, not ticks. Passing 1 does not restart the count. Use one shared unit length when comparing positions.

Worked example

On the diagram, each whole has three equal intervals. Two steps reach 2/3; four steps reach 4/3 = 1 + 1/3. Zero steps would stay at 0. These are worked examples; solve the fresh amounts below.

Worked example: a line from 0 to 2 uses three equal intervals in each whole. A is two intervals from zero at 2/3. B is four intervals from zero at 4/3, one whole and one third. Both unit lengths match.
Numbers name positions. Equal unit lengths make comparisons meaningful; the starting tick is not a traveled step.
Question 1 The distance from 0 to 1 has four equal intervals. Move two intervals right from 0. Where do you land?
Question 2 From 0 to 1, a line has seven tick marks, including both endpoints. The gaps are equal. Each gap is 1/__. Enter the denominator.
Question 3 Where is 7/4 on a line whose whole length is the distance from 0 to 1?
Question 4 How many fifth-size intervals do you travel from 0 to reach 0/5?
Question 5 Keep the whole length fixed. How many eighth-size intervals from 0 reach the same position as 3/4?