Fraction number line chart

Nine number lines from 0 to 1, stacked so that equal fractions line up vertically, from one whole down to twelfths, with every tick labeled.

Fraction number line chart — free printable PDF preview

Both pages

Page 1 has every tick labeled; page 2 has the same nine lines with blank ticks, so a child can label them and check against page 1.

  • Fraction number line chart — Labeled lines

    Labeled lines

  • Fraction number line chart — Blank lines to label

    Blank lines to label

How to print it

  1. Open the print view. Press Print for a clean print-ready view of page 1, or download it as a PDF or PNG. The other pages are in the gallery below, with a button to download them all.
  2. Fit to page. In the print dialog choose “Fit to page” — the chart is laid out for US Letter and scales cleanly onto A4.
  3. Copy freely. Print or photocopy as many as you need for home, classroom or tutoring use. It is free, with no sign-up.

About the fraction number line chart

Each line runs from 0 to 1 and is cut into equal parts: one whole, then halves, thirds, fourths, fifths, sixths, eighths, tenths and twelfths. All nine share the same 0 and the same 1, so a fraction sits directly above or below any fraction it equals. The dashed line through the middle passes through 1/2, 2/4, 3/6, 4/8, 5/10 and 6/12, all printed in blue. On the thirds and fifths lines it falls between two ticks, which shows that no count of thirds or fifths makes exactly a half. Every tick is labeled as a fraction, ends included, so 4/4 sits right under the 1. Page 2 repeats the lines with blank ticks to fill in.

Grade level: this chart is used in our 3rd grade math worksheets collection.

Frequently asked questions

How is this different from the fractions on a number line worksheet?

The worksheet asks a child to name one marked point on each of five lines. This chart labels every point on nine lined-up lines, so it works as the reference for checking that worksheet, and page 2 is the open-ended version.

Why label the ends 0/4 and 4/4 instead of 0 and 1?

Seeing 4/4 under the 1 shows that a fraction with the same top and bottom is one whole, and 0/4 over the 0 shows that zero parts of anything is 0. The plain 0 and 1 are printed above the top line.

What should a child notice first?

That more parts means smaller parts: 1/12 sits much closer to 0 than 1/2 does. Then follow the dashed middle line down; every fraction it passes through equals one half.

Which grade uses fraction number lines?

In the Common Core standards, third grade places fractions on a number line using halves, thirds, fourths, sixths and eighths. Fourth grade adds fifths, tenths, twelfths and hundredths for equivalent fractions and comparing.

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