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 short video below summarises the need for students to understand fractions in different ways.
The example below shows fractions marked on number lines that span from 0 to 1.
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.
Try the short practice quiz below to practice with fractions on a number line. The quiz has helpful extra questions with hints if they are needed.
Open the Fractions on a Number Line Quiz shown above in its own window if desired.
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.