Fractions - Cycle 3

| Mathematics

What is a Fraction?

Definition

A fraction often represents a part of a whole or a part of a set.

The fraction is always made up of a numerator and a denominator.

Example
The numerator and the denominator

The denominator is the number below the fraction bar (line). It represents the number of equal parts into which the whole has been divided.

Example

The denominator of the fraction |\dfrac{1}{4}| means that the whole is divided into |4| equal parts.

Example of representing a denominator.

The numerator is the number above the fraction bar. It represents the number of equal parts being used.

Example

The numerator of the fraction |\dfrac{1}{4}| means that 1 part is used.

Example of representing a numerator .

How can Fractions be Represented?

A fraction can be represented in different ways: using circles, rectangles, or a set of objects.

Read the following concept sheet to learn more.

Comparing and Ordering Fractions

Ordering fractions means comparing them so they can be placed in ascending or descending order.

Read the following sheet to learn more.

What is an Equivalent Fraction?

A fraction is equivalent to another when it represents the same part of a whole or set.

Read the following concept sheet to learn more.

What is an Irreducible (Simplified) Fraction?

A fraction is in lowest terms when the numerator and the denominator have only 1 as a common divisor. The fraction is then in its simplest or irreducible form.

Read the following concept sheet to learn more.

What is a Mixed Number?

A mixed number is made up of an integer part (a whole number) and a fractional part (a fraction).

Read the following sheet to learn more.

How are Fractions Added?

Fractions can be added once they have the same denominator.

Read the following concept sheet to learn more.

How are Fractions Subtracted?

Fractions can be subtracted once they have the same denominator.

Read the following concept sheet to learn more.

How can a Fraction be Multiplied by a Whole Number?

To multiply a fraction by a whole number, use repeated addition or place the whole number over |1| |(\dfrac{?}{1})|.

Read the following concept sheet to learn more.