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Fractions on number lines

Read fractions at marked points between 0 and 1.

Practice + answer key · 3 pages

Worksheet settings8 questions · 2 columns · A4
Intervals per whole

The selected denominator determines how many equal intervals split the unit line.

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mathsprig-1
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2 pages
Fractions on number linesFractions on number lines. Practice. Write the fraction at the marked point on the number line. Write the fraction at the marked point on the number line. Write the fraction at the marked point on the number line. Write the fraction at the marked point on the number line. Write the fraction at the marked point on the number line. Write the fraction at the marked point on the number line.Name __________________________Date _______________Fractions on number linesWrite the fraction at each marked point. Equivalent fraction forms are accepted.Worked exampleA line from 0 to 1 has six equal intervals. What fraction is at the secondtick after zero? → 1/3Each interval is 1/6.1.Write the fraction at the markedpoint on the number line.0?12.Write the fraction at the markedpoint on the number line.0?13.Write the fraction at the markedpoint on the number line.0?14.Write the fraction at the markedpoint on the number line.0?15.Write the fraction at the markedpoint on the number line.0?16.Write the fraction at the markedpoint on the number line.0?1MathSprig · mathsprig.site · support@mathsprig.sitePage 1 of 2mathsprig-1 · mathsprig-v1 · 8071c4d2
Fractions on number linesFractions on number lines. Practice. Write the fraction at the marked point on the number line. Write the fraction at the marked point on the number line.Name __________________________Date _______________Fractions on number linesWrite the fraction at each marked point. Equivalent fraction forms are accepted.7.Write the fraction at the markedpoint on the number line.0?18.Write the fraction at the markedpoint on the number line.0?1MathSprig · mathsprig.site · support@mathsprig.sitePage 2 of 2mathsprig-1 · mathsprig-v1 · 8071c4d2
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Practice + answer key · 3 pages

Fractions

What you’ll practice

Interpret a proper fraction as a location on a unit number line.

The spaces between 0 and 1 divide one whole into equal parts. Count how many spaces take you from zero to the marked point, then write that fraction.

How this skill works

A unit line from 0 to 1 represents one whole. If it has d equal intervals, each interval represents 1/d.

Count how many intervals lie between zero and the point. That count is the numerator; the total interval count is the denominator.

Worked example

A line from 0 to 1 has six equal intervals. What fraction is at the second tick after zero?
  1. Each interval is 1/6.
  2. Two intervals from zero represent 2/6.
  3. 2/6 simplifies to 1/3; both describe the same point.

Answer: 1/3

Teaching notes

  • Count intervals from zero, not labels.
  • Equivalent fractions land on the same location.
Practice questions
  1. Write the fraction at the marked point on the number line.

    A number line from 0 to 1 divided into 6 equal intervals; the point is on tick 1 after zero.

  2. Write the fraction at the marked point on the number line.

    A number line from 0 to 1 divided into 6 equal intervals; the point is on tick 4 after zero.

  3. Write the fraction at the marked point on the number line.

    A number line from 0 to 1 divided into 2 equal intervals; the point is on tick 1 after zero.

  4. Write the fraction at the marked point on the number line.

    A number line from 0 to 1 divided into 8 equal intervals; the point is on tick 2 after zero.

  5. Write the fraction at the marked point on the number line.

    A number line from 0 to 1 divided into 6 equal intervals; the point is on tick 2 after zero.

  6. Write the fraction at the marked point on the number line.

    A number line from 0 to 1 divided into 5 equal intervals; the point is on tick 2 after zero.

  7. Write the fraction at the marked point on the number line.

    A number line from 0 to 1 divided into 3 equal intervals; the point is on tick 1 after zero.

  8. Write the fraction at the marked point on the number line.

    A number line from 0 to 1 divided into 6 equal intervals; the point is on tick 5 after zero.

Answers and steps
  1. 1/6
    1. The whole is divided into 6 equal intervals. The point is 1 intervals from zero, so its value is 1/6 = 1/6.
  2. 2/3
    1. The whole is divided into 6 equal intervals. The point is 4 intervals from zero, so its value is 4/6 = 2/3.
  3. 1/2
    1. The whole is divided into 2 equal intervals. The point is 1 intervals from zero, so its value is 1/2 = 1/2.
  4. 1/4
    1. The whole is divided into 8 equal intervals. The point is 2 intervals from zero, so its value is 2/8 = 1/4.
  5. 1/3
    1. The whole is divided into 6 equal intervals. The point is 2 intervals from zero, so its value is 2/6 = 1/3.
  6. 2/5
    1. The whole is divided into 5 equal intervals. The point is 2 intervals from zero, so its value is 2/5 = 2/5.
  7. 1/3
    1. The whole is divided into 3 equal intervals. The point is 1 intervals from zero, so its value is 1/3 = 1/3.
  8. 5/6
    1. The whole is divided into 6 equal intervals. The point is 5 intervals from zero, so its value is 5/6 = 5/6.