As well as quotients and equalities. The student must master the definition and know how to place its abscissa on a graduated line as well as perform calculations of products of a number by a quotient or calculate proportions. Fractions are a primary concept, essentially, about comparing two numbers that would not be decimal numbers. Problem solving will also be a focus on this chapter in the sixth grade.
Many skills will be developed such as knowing how to graph a fraction of a figure or a quantity or knowing how to compare two quotients or to arrange them in an ascending or descending order.

## I. Fractions and quotients

### 1. definition and vocabulary

Definition:

When a unit is divided into equal parts, each part is a fraction of the unit.

Example:

This rectangle represents the unit; it is divided into four equal parts.

Each part represents the fraction .

i.e. .

### 2. Placement and comparison on a graduated half-line

Example:

To place the number on a graduated half-line, we transfer seven times the third of the unit

or we use .

## II. Properties of fractions

### 1.equalities of simple fractions

Example 1:

We placed the number on this graduated half-line.

We divide the unit into twice as many shares; we then take twice as many shares

and therefore .

Example 2:

Here are different fractions equal to .

### 2.comparison and graduated half line

Ownership:

To compare two fractions, we can use a graduated half-line or use their decimal writing (when it exists).

Example 1:

On this graduated half-line, is closer to 0 than to so .

Example 2:

To compare and , you can do one of the following:

### 3. take a fraction of a quantity

Ownership:

To take a fraction of a quantity is to multiply that fraction by that quantity.

Examples:

• Take of 15 L, it is calculated .
• To take of 15 L is to calculate 2 times of 15 L , that is .

## Did you get the hang of that fractions course?

Les fractions

QCM sur les fractions en 6ème.

Things to remember:

• Know the definition;
• Know how to compare fractions and place them on a graduated line;
• Know the difference between a fraction, a decimal fraction and a fractional writing;
• Calculate the fraction of a quantity;
• Reduce to the same denominator.

This course is in accordance with the official programs of thenational education.

In addition, you can consult the exercises on fractions in sixth grade.

 
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