Lesson

Let's try this problem to help us remember how to locate a fraction on a number line .

Plot \dfrac{1}{10} on the number line.

Worked Solution

Idea summary

When plotting a fraction on a number line:

the denominator (bottom number) shows how many parts there should be between each whole number.

the numerator (top number) shows the number of parts to move to the right from the previous whole number.

Let's look at how to plot fractions on a number line.

Plot \dfrac{4}{3} on the number line.

Worked Solution

Idea summary

The denominator shows how many parts make the whole.

The numerator is the number of parts within this fraction.

A mixed fraction includes a whole number and a fraction.

This video shows how to compare unit fractions on a number line.

Think about the fractions \dfrac{1}{8} and \dfrac{1}{10}.

a

Plot the number \dfrac{1}{8} on the number line.

Worked Solution

b

Plot \dfrac{1}{10} on the number line.

Worked Solution

c

The two numbers can be shown on the same number line like this:

Which number is smaller?

A

\dfrac{1}{8}

B

\dfrac{1}{10}

Worked Solution

Idea summary

To plot a proper fraction on a number line:

Start the number line at 0 and end it at 1.

Divide the number line into the number of parts equal to the denominator.

From 0, count to the right the number of parts equal to the numerator.

Plot the point.

To compare fractions on a number line, the fraction furthest to the right is the largest.

Compare and order common unit fractions and locate and represent them on a number line