8. Fractions

Lesson

Can you identify the number and size of equal parts?

Here is a shape divided into parts, use it to answer the following questions.

a

This shape has ⬚ equal parts.

Worked Solution

b

Each part is \dfrac{⬚}{⬚} of the whole.

Worked Solution

Idea summary

For area models:

The

**numerator**(top number) is the number of parts shaded to represent the fraction.The

**denominator**(bottom number) is the number of equal parts the shape is divided into.

How can we identify equivalent fractions? This video will show us.

Fill in the blank to find an equivalent fraction to \dfrac{1}{3}:

\dfrac{1}{3}= \dfrac{⬚}{6}

Worked Solution

Here we look at comparing using equivalent fractions.

Using the geogebra applet, slide the slider to see what some fractions out of 8 look like.

The number of shaded parts equals the top number (numerator).

We are going to compare the two fractions \dfrac{1}{8} and \dfrac{1}{4}.

a

Turn \dfrac{1}{4} into a fraction in eighths.

Worked Solution

b

Which fraction is larger?

A

The fractions are the same size.

B

\dfrac{1}{8}

C

\dfrac{1}{4}

Worked Solution

Idea summary

To compare fractions, model both fractions using area models with the same number of parts. Then count the number of shaded parts in each model.

This next video shows us that whole numbers can also be written as fractions.

Fill in the blank to find an equivalent fraction to 5:

5= \dfrac{⬚}{2}

Worked Solution

Idea summary

Equivalent fractions represent the same size, but have different numerators and denominators.

To find an equivalent fraction we can multiply the numerator and denominator by the same number.