5. Fractions

Lesson

Let's try this problem to review how to identify a fraction of a group of objects.

Which of the following shows that \dfrac{3}{4} of these ice creams have been selected?

A

B

C

Worked Solution

Idea summary

The **denominator** tells us the number of equal parts that we need to divide the collection of objects into.

The **numerator** tells us the number of equal parts that we need to select to represent our fraction.

To find a fraction of a collection, we can first find the unit fraction of the collection, then multiply it so that we get the desired fraction.

This video looks at finding a unit fraction of a quantity.

What is \dfrac15 of 20?

Worked Solution

Idea summary

We can quickly find the unit fraction of a whole number by dividing the whole number by the denominator.

This video looks at finding a non-unit fraction of a quantity.

What is \dfrac{6}{11} of \$55?

Worked Solution

Idea summary

You can find a fraction of an amount by:

Dividing the total quantity by the denominator, then multiplying the answer by the numerator, or

Multiplying the total quantity by the numerator, then dividing the answer by the denominator.

compares, orders and calculates with fractions, decimals and percentages