Another way to think about fractions, in addition to the common “slice of pizza” or area models, is to consider them as numbers on a number line.
This way of understanding fractions is part of the new Common Core For Mathematics standards and it is an understanding that is important for students to grasp as it will help greatly in later mathematics.
The example below shows fractions marked on number lines that span from 0 to 1.
Fraction on number line resources
This fraction bar/ chart is useful when tutoring your children and exploring fractions on number lines. The number lines below are formatted for easy printing and will provide more tutoring help.
- Blank – Marked at the Halves
- Blank – Marked at the Fifths
- Blank – Marked at the Tenths
- Blank Line (extra thick) : includes 1 & 4-per-page options
- Number Line Generator
- Number Line in Thirds (0 to 3)
- Fractions Number Line/ Bar (Stacked Fraction Bar with halves to twelfths
- Blank Fraction Lines – Halves to Twelfths (9 Pages)
- Blank – Halves and Thirds Spanning Three Whole Numbers
- Blank – Fourths and Fifths Spanning Three Whole Numbers
- Blank – Sixths and Eighths Spanning Three Whole Numbers
- Blank – Halves, Thirds, Fourths. Fifths, Sixths
- Blank – Sixths, Sevenths, Eighths, Ninths, Elevenths, Twelfths
- Blank: Sixteenths
- Blank – Marked in 1s
Equivalent Fractions on a number line
Equivalency in fractions can be shown on a number line just as they can be shown on a area model as shown here with an examples showing three-fourths and six-eighths as being equivalent.
The first number line example below shows this same equivalency on a number line.
The second number line example shows another fraction that is equivalent to three-fourths, namely twelve-sixteenths.