Fractions: 6th grade math course download PDF.

Maths lessons on fractions in 6th grade to print or download for free in PDF.
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


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


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

Each part represents the fraction \frac{1}{4}.

\frac{1}{4}+\frac{1}{4}+\frac{1}{4}+\frac{1}{4}=\frac{4}{4}=1i.e. 4\times  \,\frac{1}{4}=1.


2. Placement and comparison on a graduated half-line


To place the number \frac{7}{3} on a graduated half-line, we transfer seven times the third of the unit

\,(\,\frac{7}{3}=7\times  \,\frac{1}{3}\,,) or we use \frac{7}{3}=\frac{6}{3}+\frac{1}{3}=2+\frac{1}{3}.

graduated half line

3. Quotient

quotient and fractions

II. Properties of fractions

1.equalities of simple fractions

Example 1:

We placed the number \frac{5}{2} on this graduated half-line.

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

and therefore \frac{5}{2}=\frac{5\times  \,2}{2\times  \,2}=\frac{10}{4}.

Equalities of fractions

Example 2:

Here are different fractions equal to \frac{2}{3}.

Proportions and fractions

2.comparison and graduated half line


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, \frac{2}{3} is closer to 0 than to \frac{4}{3} so \frac{2}{3}<\frac{4}{3}.

Graduated half line

Example 2:

To compare \frac{5}{4} and \frac{3}{2}, you can do one of the following:

compare fractions

3. take a fraction of a quantity


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


  • Take \frac{1}{3} of 15 L, it is calculated \frac{1}{3}\times  \,15=\frac{15}{3}=15:3=5\,L.
  • To take \frac{2}{3} of 15 L is to calculate 2 times \frac{1}{3} of 15 L , that is \frac{2}{3}\times  \,15=2\times  \,\,(\,15:3\,\,)=2\times  \,5=10\,L.

Did you get the hang of that fractions course?

Les fractions

QCM sur les fractions en 6ème.

Things to remember:

Skills to learn about fractions:

what 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.

Cette publication est également disponible en : Français (French) العربية (Arabic)

Télécharger puis imprimer cette fiche en PDF

Télécharger ou imprimer cette fiche «fractions: 6th grade math course download PDF.» au format PDF afin de pouvoir travailler en totale autonomie.

D'autres fiches dans la section 6th grade math class

Télécharger nos applications gratuites Mathématiques Web avec tous les cours,exercices corrigés.

Application Mathématiques Web sur Google Play Store.    Application Mathématiques Web sur Apple Store.    Suivez-nous sur YouTube.

D'autres articles analogues à fractions: 6th grade math course download PDF.

  • 92
    Integers: 6th grade math course in PDF.A math course in sixth grade (6ème) In this free lesson on integers, which you can download in PDF format, we will deal with the decomposition and the position of a digit as well as the location on a graduated line in order to be able to compare, afterwards, two…
  • 92
    Proportionality and percentages: 6th grade math course in PDF.Math course on proportionality and percentages This lesson covers the definition of proportionality and its additivity as well as the passage through the unit and percentages as well as the coefficient and the proportionality table. The student should be able to show if a table is proportional or not and…
  • 91
    Quadrilaterals: 6th grade math lessons to download in PDF.A math lesson on quadrilaterals in 6th grade, we will study the definition then the square, the rectangle, the rhombus, the parallelogram. The student should know the definition of a quadrilateral and be able to construct it using geometry equipment (ruler, compass, square and protractor). He will have to master…
Les dernières fiches mises à jour

Voici la liste des derniers cours et exercices ajoutés au site ou mis à jour et similaire à fractions: 6th grade math course download PDF. .

  1. Intégrales : exercices de maths en terminale corrigés en PDF.
  2. الوظائف والحدود: تمارين الرياضيات في السنة النهائية مصححة بتنسيق PDF.
  3. Functions and limits: senior math exercises corrected in PDF.
  4. Fonctions et limites : exercices de maths en terminale corrigés en PDF.
  5. الوظائف المعتادة: دورة الرياضيات في المركز الثاني للتحميل بصيغة PDF.

Inscription gratuite à Mathématiques Web. Mathématiques Web c'est 2 146 063 fiches de cours et d'exercices téléchargées.

Copyright © 2008 - 2023 Mathématiques Web Tous droits réservés | Mentions légales | Signaler une Erreur | Contact

Scroll to Top
Mathématiques Web